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There Is Only One You with Clemency Burton-Hill

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Published On :: Wed, 01 Jan 2020 15:17:19 +0000

There are 7106 languages on earth and yet there are a few universal languages that transcends the language barrier. In this episode we explore one of the first universal languages of human history: music. My guest today is Clemency Burton-Hill. From underground DJ to the Creative Director at New York Public Radio, she is an author, a musician, and host of multiple podcasts including The Open Ears Project, Classical Fix, and Moments that Made Me. Her latest book, Year of Wonder helps readers explore and experience a new classical musical piece every day. In this episode: Classical music has a bad rap for being stuffy, boring, and largely inaccessible. Clemency expands on what’s available, and how it’s really the soundtrack of our lives. The universality of music and how we use music to explore, express, and share. Of course, Clemency drops so many names of musical artists to explore who are crushing it today. Enjoy! FOLLOW CLEMENCY: instagram | twitter | website Listen to the Podcast  Subscribe   This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in […]

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The Code of the Extraordinary Mind with Vishen Lakhiani

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Published On :: Tue, 07 Apr 2020 13:00:01 +0000

Join me + bestselling author Vishen Lakhiani LIVE Tuesday April 7 at 6:30pm PST. Vishen Lakhiani is one of today’s most influential minds in the fields of education and human consciousness. He is the founder of Mindvalley University and its 2 million-strong student base and creator of the Quests learning platform: a next-generation method of online learning, which attains an unheard-of 60% completion rate on courses, in an industry where 8% is average. Vishen’s book, The Code of the Extraordinary Mind, made the New York Times Business Best Sellers List, and hit the coveted #1 spot on Amazon five times in 2017. Enjoy! FOLLOW VISHEN: instagram | facebook | website Listen to the Podcast coming soon … Subscribe   This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our times.

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Create the Change You Seek with Jonah Berger

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Published On :: Wed, 08 Apr 2020 13:15:57 +0000

Jonah Berger is a marketing professor at the Wharton School at the University of Pennsylvania and internationally bestselling author of Contagious, Invisible Influence, and The Catalyst. Dr. Berger is a world-renowned expert on change, word of mouth, influence, consumer behavior, and how products, ideas, and behaviors catch on. He has published over 50 articles in top‐tier academic journals, teaches Wharton’s highest rated online course, and popular outlets like The New York Times and Harvard Business Review often cover his work. He’s keynoted hundred of events, and often consults for organizations like Google, Apple, Nike, and the Gates Foundation. Enjoy! FOLLOW JONAH: instagram | twitter | website Listen to the Podcast Subscribe   Watch the Episode This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our times.

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Ben Moon: Surf, Survival, and Life on the Road

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Published On :: Tue, 14 Apr 2020 13:01:51 +0000

Since we’re home, I’m working to bring more LIVE conversations to you from our living rooms. ???? Join me + adventure photographer / filmmaker Ben Moon at 12:30PM PST tomorrow. There will be a live chat, so please ask us some questions as well. See you there. You might know Ben from his adventure and lifestyle photography or his beautiful films. Surviving cancer in his 20s gradually shifted his artistic focus from capturing the pursuit of adventure to telling nuanced human stories that have inspired and impacted millions. Most notably, his personal story battling colorectal cancer and his special relationship with his dog Denali, which he shares in his beautiful viral short film, now turned book, Denali. ABOUT BEN Ben Moon is an adventure, lifestyle, and portrait photographer whose vibrant images have graced the pages of Patagonia catalogues for the past 18 years.  In recent years, he has shifted his focus to filmmaking. In 2015, he founded his production company, Moonhouse as a platform for collaboration with friends and creatives to bring a wide range of thought-provoking, impactful and cinematically beautiful stories to life on-screen. As a director, Ben’s unique ability to connect with his subjects paired with the talent […]

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Why's it so hard to get the cool stuff approved?

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Published On :: Thu, 27 Feb 2020 00:00:00 -0500

The classic adage is “good design speaks for itself.” Which would mean that if something’s as good of an idea as you think it is, a client will instantly see that it’s good too, right?

Here at Viget, we’re always working with new and different clients. Each with their own challenges and sensibilities. But after ten years of client work, I can’t help but notice a pattern emerge when we’re trying to get approval on especially cool, unconventional parts of a design.

So let’s break down some of those patterns to hopefully better understand why clients hesitate, and what strategies we’ve been using lately to help get the work we’re excited about approved.

Imagine this: the parallax homepage with elements that move around in surprising ways or a unique navigation menu that conceptually reinforces a site’s message. The way the content cards on a page will, like, be literal cards that will shuffle and move around. Basically, any design that feels like an exciting, novel challenge, will need the client to “get it.” And that often turns out to be the biggest challenge of all.

There are plenty of practical reasons cool designs get shot down. A client is usually more than one stakeholder, and more than the team of people you’re working with directly. On any project, there’s an amount of telephone you end up playing. Or, there’s always the classic foes: budgets and deadlines. Any idea should fit in those predetermined constraints. But as a project goes along, budgets and deadlines find a way to get tighter than you planned.

But innovative designs and interactions can seem especially scary for clients to approve. There’s three fears that often pop up on projects:

The fear of change. 

Maybe the client expected something simple, a light refresh. Something that doesn’t challenge their design expectations or require more time and effort to understand. And on our side, maybe we didn’t sufficiently ease them into our way of thinking and open them up to why we think something bigger and bolder is the right solution for them. Baby steps, y’all.

The fear of the unknown. 

Or, less dramatically, a lack of understanding of the medium. In the past, we have struggled with how to present an interactive, animated design to a client before it’s actually built. Looking at a site that does something conceptually similar as an example can be tough. It’s asking a lot of a client’s imagination to show them a site about boots that has a cool spinning animation and get meaningful feedback about how a spinning animation would work on their site about after-school tutoring. Or maybe we’ve created static designs, then talked around what we envision happening. Again, what seems so clear in our minds as professionals entrenched in this stuff every day can be tough for someone outside the tech world to clearly understand.

    The fear of losing control. 

    We’re all about learning from past mistakes. So lets say, after dealing with that fear of the unknown on a project, next time you go in the opposite direction. You invest time up front creating something polished. Maybe you even get the developer to build a prototype that moves and looks like the real thing. You’ve taken all the vague mystery out of the process, so a client will be thrilled, right? Surprise, probably not! Most clients are working with you because they want to conquer the noble quest that is their redesign together. When we jump straight to showing something that looks polished, even if it’s not really, it can feel like we jumped ahead without keeping them involved. Like we took away their input. They can also feel demotivated to give good, meaningful feedback on a polished prototype because it looks “done.”

    So what to do? Lately we have found low-fidelity prototypes to be a great tool for combating these fears and better communicating our ideas.

    What are low-fidelity prototypes?

    Low fidelity prototypes are a tool that designers can create quickly to illustrate an idea, without sinking time into making it pixel-perfect. Some recent examples of prototypes we've created include a clickable Figma or Invision prototype put together with Whimsical wireframes:

    A rough animation created in Principle illustrating less programatic animation:

    And even creating an animated storyboard in Photoshop:

    They’re rough enough that there’s no way they could be confused for a final product. But customized so that a client can immediately understand what they’re looking at and what they need to respond to. Low-fidelity prototypes hit a sweet spot that addresses those client fears head on.

    That fear of change? A lo-fi prototype starts rough and small, so it can ease a client into a dramatic change without overwhelming them. It’s just a first step. It gives them time to react and warm up to something that’ll ultimately be a big change.

    It also cuts out the fear of the unknown. Seeing something moving around, even if it’s rough, can be so much more clear than talking ourselves in circles about how we think it will move, and hoping the client can imagine it. The feature is no longer an enigma cloaked in mystery and big talk, but something tangible they can point at and ask concrete questions about.

    And finally, a lo-fi prototype doesn’t threaten a client’s sense of control. Low-fidelity means it’s clearly still a work in progress! It’s just an early step in the creative process, and therefore communicates that we’re still in the middle of that process together. There’s still plenty of room for their ideas and feedback.

    Lo-fi prototypes: client-tested, internal team-approved

    There are a lot of reasons to love lo-fi prototypes internally, too!

    They’re quick and easy. 

    We can whip up multiple ideas within a few hours, without sinking the time into getting our hearts set on any one thing. In an agency setting especially, time is limited, so the faster we can get an idea out of our own heads, the better.

    They’re great to share with developers. 

    Ideally, the whole team is working together simultaneously, collaborating every step of the way. Realistically, a developer often doesn’t have time during a project’s early design phase. Lo-fi prototypes are concrete enough that a developer can quickly tell if building an idea will be within scope. It helps us catch impractical ideas early and helps us all collaborate to create something that’s both cool and feasible.

      Stay tuned for posts in the near future diving into some of our favorite processes for creating lo-fi prototypes!


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      Committed to the wrong branch? -, @{upstream}, and @{-1} to the rescue

      By feedproxy.google.com
      Published On :: Thu, 27 Feb 2020 00:00:00 -0500

      I get into this situation sometimes. Maybe you do too. I merge feature work into a branch used to collect features, and then continue development but on that branch instead of back on the feature branch

      git checkout feature
# ... bunch of feature commits ...
git push
git checkout qa-environment
git merge --no-ff --no-edit feature
git push
# deploy qa-environment to the QA remote environment
# ... more feature commits ...
# oh. I'm not committing in the feature branch like I should be

      and have to move those commits to the feature branch they belong in and take them out of the throwaway accumulator branch

      git checkout feature
git cherry-pick origin/qa-environment..qa-environment
git push
git checkout qa-environment
git reset --hard origin/qa-environment
git merge --no-ff --no-edit feature
git checkout feature
# ready for more feature commits

      Maybe you prefer

      git branch -D qa-environment
git checkout qa-environment

      over

      git checkout qa-environment
git reset --hard origin/qa-environment

      Either way, that works. But it'd be nicer if we didn't have to type or even remember the branches' names and the remote's name. They are what is keeping this from being a context-independent string of commands you run any time this mistake happens. That's what we're going to solve here.

      Shorthands for longevity

      I like to use all possible natively supported shorthands. There are two broad motivations for that.

      1. Fingers have a limited number of movements in them. Save as many as possible left late in life.
      2. Current research suggests that multitasking has detrimental effects on memory. Development tends to be very heavy on multitasking. Maybe relieving some of the pressure on quick-access short term memory (like knowing all relevant branch names) add up to leave a healthier memory down the line.

      First up for our scenario: the - shorthand, which refers to the previously checked out branch. There are a few places we can't use it, but it helps a lot:

      Bash 
      # USING -

git checkout feature
# hack hack hack
git push
git checkout qa-environment
git merge --no-ff --no-edit -        # ????
git push
# hack hack hack
# whoops
git checkout -        # now on feature ???? 
git cherry-pick origin/qa-environment..qa-environment
git push
git checkout - # now on qa-environment ????
git reset --hard origin/qa-environment
git merge --no-ff --no-edit -        # ????
git checkout -                       # ????
# on feature and ready for more feature commits
      Bash 
      # ORIGINAL

git checkout feature
# hack hack hack
git push
git checkout qa-environment
git merge --no-ff --no-edit feature
git push
# hack hack hack
# whoops
git checkout feature
git cherry-pick origin/qa-environment..qa-environment
git push
git checkout qa-environment
git reset --hard origin/qa-environment
git merge --no-ff --no-edit feature
git checkout feature
# ready for more feature commits

      We cannot use - when cherry-picking a range

      > git cherry-pick origin/-..-
fatal: bad revision 'origin/-..-'

> git cherry-pick origin/qa-environment..-
fatal: bad revision 'origin/qa-environment..-'

      and even if we could we'd still have provide the remote's name (here, origin).

      That shorthand doesn't apply in the later reset --hard command, and we cannot use it in the branch -D && checkout approach either. branch -D does not support the - shorthand and once the branch is deleted checkout can't reach it with -:

      # assuming that branch-a has an upstream origin/branch-a
> git checkout branch-a
> git checkout branch-b
> git checkout -
> git branch -D -
error: branch '-' not found.
> git branch -D branch-a
> git checkout -
error: pathspec '-' did not match any file(s) known to git

      So we have to remember the remote's name (we know it's origin because we are devoting memory space to knowing that this isn't one of those times it's something else), the remote tracking branch's name, the local branch's name, and we're typing those all out. No good! Let's figure out some shorthands.

      @{-<n>} is hard to say but easy to fall in love with

      We can do a little better by using @{-<n>} (you'll also sometimes see it referred to be the older @{-N}). It is a special construct for referring to the nth previously checked out ref.

      > git checkout branch-a
> git checkout branch-b
> git rev-parse --abbrev-rev @{-1} # the name of the previously checked out branch
branch-a
> git checkout branch-c
> git rev-parse --abbrev-rev @{-2} # the name of branch checked out before the previously checked out one
branch-a

      Back in our scenario, we're on qa-environment, we switch to feature, and then want to refer to qa-environment. That's @{-1}! So instead of

      git cherry-pick origin/qa-environment..qa-environment

      We can do

      git cherry-pick origin/qa-environment..@{-1}

      Here's where we are (🎉 marks wins from -, 💥 marks the win from @{-1})

      Bash 
      # USING - AND @{-1}

git checkout feature
# hack hack hack
git push
git checkout qa-environment
git merge --no-ff --no-edit -                # ????
git push
# hack hack hack
# whoops
git checkout -                               # ????
git cherry-pick origin/qa-environment..@{-1} # ????
git push
git checkout -                               # ????
git reset --hard origin/qa-environment
git merge --no-ff --no-edit -                # ????
git checkout -                               # ????
# ready for more feature commits
      Bash 
      # ORIGINAL

git checkout feature
# hack hack hack
git push
git checkout qa-environment
git merge --no-ff --no-edit feature
git push
# hack hack hack
# whoops
git checkout feature
git cherry-pick origin/qa-environment..qa-environment
git push
git checkout qa-environment
git reset --hard origin/qa-environment
git merge --no-ff --no-edit feature
git checkout feature
# ready for more feature commits

      One down, two to go: we're still relying on memory for the remote's name and the remote branch's name and we're still typing both out in full. Can we replace those with generic shorthands?

      @{-1} is the ref itself, not the ref's name, we can't do

      > git cherry-pick origin/@{-1}..@{-1}
origin/@{-1}
fatal: ambiguous argument 'origin/@{-1}': unknown revision or path not in the working tree.
Use '--' to separate paths from revisions, like this:
'git <command> [<revision>...] -- [<file>...]'

      because there is no branch origin/@{-1}. For the same reason, @{-1} does not give us a generalized shorthand for the scenario's later git reset --hard origin/qa-environment command.

      But good news!

      Do @{u} @{push}

      @{upstream} or its shorthand @{u} is the remote branch a that would be pulled from if git pull were run. @{push} is the remote branch that would be pushed to if git push was run.

      > git checkout branch-a
Switched to branch 'branch-a'
Your branch is ahead of 'origin/branch-a' by 3 commits.
  (use "git push" to publish your local commits)
> git reset --hard origin/branch-a
HEAD is now at <the SHA origin/branch-a is at>

      we can

      > git checkout branch-a
Switched to branch 'branch-a'
Your branch is ahead of 'origin/branch-a' by 3 commits.
  (use "git push" to publish your local commits)
> git reset --hard @{u}                                # <-- So Cool!
HEAD is now at <the SHA origin/branch-a is at>

      Tacking either onto a branch name will give that branch's @{upstream} or @{push}. For example

      git checkout branch-a@{u}

      is the branch branch-a pulls from.

      In the common workflow where a branch pulls from and pushes to the same branch, @{upstream} and @{push} will be the same, leaving @{u} as preferable for its terseness. @{push} shines in triangular workflows where you pull from one remote and push to another (see the external links below).

      Going back to our scenario, it means short, portable commands with a minimum human memory footprint. (🎉 marks wins from -, 💥 marks the win from @{-1}, 😎 marks the wins from @{u}.)

      Bash 
      # USING - AND @{-1} AND @{u}

git checkout feature
# hack hack hack
git push
git checkout qa-environment
git merge --no-ff --no-edit -    # ????
git push
# hack hack hack
# whoops
git checkout -                   # ????
git cherry-pick @{-1}@{u}..@{-1} # ????????
git push
git checkout -                   # ????
git reset --hard @{u}            # ????
git merge --no-ff --no-edit -    # ????
git checkout -                   # ????
# ready for more feature commits
      Bash 
      # ORIGINAL

git checkout feature
# hack hack hack
git push
git checkout qa-environment
git merge --no-ff --no-edit feature
git push
# hack hack hack
# whoops
git checkout feature
git cherry-pick origin/qa-environment..qa-environment
git push
git checkout qa-environment
git reset --hard origin/qa-environment
git merge --no-ff --no-edit feature
git checkout feature
# ready for more feature commits

      Make the things you repeat the easiest to do

      Because these commands are generalized, we can run some series of them once, maybe

      git checkout - && git reset --hard @{u} && git checkout -

      or

      git checkout - && git cherry-pick @{-1}@{u}.. @{-1} && git checkout - && git reset --hard @{u} && git checkout -

      and then those will be in the shell history just waiting to be retrieved and run again the next time, whether with CtrlR incremental search or history substring searching bound to the up arrow or however your interactive shell is configured. Or make it an alias, or even better an abbreviation if your interactive shell supports them. Save the body wear and tear, give memory a break, and level up in Git.

      And keep going

      The GitHub blog has a good primer on triangular workflows and how they can polish your process of contributing to external projects.

      The FreeBSD Wiki has a more in-depth article on triangular workflow process (though it doesn't know about @{push} and @{upstream}).

      The construct @{-<n>} and the suffixes @{push} and @{upstream} are all part of the gitrevisions spec. Direct links to each:


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        Our New Normal, Together

        By feedproxy.google.com
        Published On :: Fri, 20 Mar 2020 09:00:00 -0400

        As the world works to mitigate the impact of the COVID-19 pandemic, our thoughts are foremost with those already ill from the virus and those on the frontlines, slowing its spread. The bravery and commitment of healthcare workers everywhere is an inspiration.

        While Viget’s physical offices are effectively closed, we’re continuing to work with our clients on projects that evolve by the day. Viget has been working with distributed teams to varying degrees for most of our 20-year history, and while we’re comfortable with the tools and best practices that make doing so effective, we realize that some of our clients are learning as they go. We’re here to help.

        These are unprecedented times, but our business playbook is clear: Take care of each other. We’re in this together.

        Our People Team is meeting with everyone on our staff to confirm their work-from-home situation. Do they have family or roommates they can rely on in an emergency? How are they feeling physically and mentally? Do they have what they need to be productive? As a team, we’re working extra hard to communicate. Andy hosts and records video calls to answer questions anyone has about the crisis, and our weekly staff meeting schedule will continue. Recognizing that our daily informal group lunches are a vital social glue in our offices, Aubrey has organized a virtual lunch table Hangout, allowing our now fully-distributed team to catch up over video. It ensures we have some laughs and helps keep us feeling connected.

        Our project teams are well-versed in remote collaboration, but we understand that not all client projects can proceed as planned. We’re doing our best to accommodate evolving schedules while keeping the momentum on as many projects as possible. For all of our clients, we’re making clear that we think long-term. We’re partners through this, and can adapt to help our clients not just weather the storm, but come through it stronger when possible. Some clients have been forced to pause work entirely, while others are busier than ever.

        Viget has persevered through many downturns -- the dot com crash, 9/11, the 2008 financial crisis, and a few self-inflicted close-calls. In retrospect, it’s easy to reflect on how these situations made us stronger, but mid-crisis it can be hard to stay positive. The consistent lesson has been that taking care of each other -- co-workers, clients, partners, community peers -- is what gets us through. It motivates our hard work, it focuses our priorities and collaboration, and inspires us to do what needs to be done.

        I don’t know for certain how this crisis will play out, but I know that all of us at Viget will be doing everything we can to support each other as we go through it together.


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        Together We Flourish, Remotely

        By feedproxy.google.com
        Published On :: Thu, 09 Apr 2020 08:00:00 -0400

        Like many other companies, Viget is working through the new challenge of suddenly being a fully-distributed company. We don’t know how long it will last or every challenge that will arise because of these unfortunate circumstances, but we know the health and well-being of our people is paramount. As Employee Engagement Manager, I feel inspired by these new challenges, eager to step up, and committed to seeing what good can come of this.

        Now more than ever, we want to maintain the culture that has sustained us over the last 20 years – a culture that I think is best captured by our mantra, “do great work and be a great teammate.” As everyone is adjusting to new work environments, schedules, and distractions, I am adjusting my approach to employee engagement, and the People Team is looking for new ways to nurture and protect the culture we treasure.

        The backbone of being a great teammate is knowing each other and caring about each other. For years the People Team has focused on making sure people who work at Viget are known, accepted, and cared about. From onboarding to events to weekly and monthly touchpoints, we invest in coworkers knowing each other. On top of that, we have well-appointed offices where people like to be, and friendships unfold over time. Abruptly becoming fully distributed makes it impossible for some of these connections to happen organically, like they would have around the coffee machine and the lunch tables. These microinteractions between colleagues in the same office, the hellos when you get off the elevator or the “what’d you get up to this weekend” chit chat near the seltzer refrigerator, all add up. We realize more than ever how valuable those moments are, and I know I will feel extra grateful for them when we are all back together.

        Until that time, we are working to make sure everyone at Viget feels connected, safe, healthy, and most importantly, together, even when we are physically apart. We are keeping up our weekly staff meetings and monthly team lunches, and we just onboarded a new hire last week as thoroughly as ever. There are some other, new ways we’re sparking connections, too.

        New ways we're sparking connections:

        Connecting IntentionallyWe are making the most of the tools that we’ve been using for years. New Slack channels have spun up, including #exercise, where folks are sharing how they are making do without a gym, and #igotyou, a place where folks can post where they’ve found supplies in stock as grocery stores are being emptied at an alarming pace.
        Remote Lunch TablesWe have teammates in three different time zones, on different project teams, and at different stages of life. We’ve created two virtual lunch tables, one at 12PM EST and one at 12PM MST, where folks can join with or without their lunches and with or without their kids, partners, or pets. There are no rules or structure, just an opportunity to chat and see a friendly face as a touchpoint to your day.
        Last Weekend This MorningCatching up Monday morning is a great way to kick off your week. Historically, I’ve done this from my desk over coffee as I greet folks coming off the elevator (I usually have the privilege of sitting at our front desk). I now do this from my desk, at home, over coffee as folks pop in or out of our Zoom call. One upshot of the new normal is I can “greet” anyone who shows up, not just people who work from my same office. Again, no structure, just a way to start our week, together.
        Munch MadnessYes, you read that right. Most of the sports world is enjoying an intermission. Since our CEO can’t cheer on his beloved Cavaliers and our VP of Design can’t cheer on his Gators, we’ve created something potentially much better. A definitive snack bracket. There is a minimal time commitment and folks with no sports knowledge can participate. The rules are simple: create and submit your bracket, ranking who you believe will win each snack faceoff. Then as we move through the rounds, vote on your favorite snacks. The competition has already sparked tons of conversation and plenty of snack hot takes. Want to start a munch-off of your own? Check out our bracket as a starting point.
        Virtual Happy HoursSigning off for the day and shutting down your machine is incredibly important for maintaining a work-life balance. Casually checking in, unwinding, and being able to chat about your day is also important. We have big, beautiful kitchens in each of our offices, along with casual spaces where at the end of any given day you can find a few Vigets catching up before heading home. This is something we don’t want to miss! So we’re setting up weekly happy hours where folks can hop in and say hi to each other face-to-face. We’ve found Zoom to be a great platform so we can see the maximum number of our teammates possible. Like all of our other events, it’s optional. There is also an understanding that your roommate, kid, significant other, or pet might show up on screen (and are welcome!). No one is shamed for multitasking and we encourage our teammates to join as they can. So far we’ve toasted new teammates, played a song or two, and up next we’ll play trivia.

        At the end of the day, we are all here for one reason: to do great work. Our award-winning work is made possible by the trust we’ve built within our teams. Staying focused and accountable to ourselves and our clients is what drives our motivation to continue to show up and do our best. In our new working environment, it is crucial that we can both stay connected and productive; a lot of teammates are stepping up to support one another. Here are a few ways we are continuing to foster our “do great work” mantra.

        New ways we're fostering great work:

        Staying in TouchThe People Team is actively touching base with every employee. Our focus is on their health, productivity, and connection. These 1:1s have given us a baseline for how we can provide the best support for our team, from making sure they're aware of flexible work options to setting them up with the tools they need to be successful. We’ve delivered chairs, monitors, and helped troubleshoot in-home wifi issues. We are committed to making sure every Viget is set up for success.
        Sharing is CaringWe’re no stranger to remote teams. We have four offices across the U.S. and a handful of full-time remote folks, and we’ve leaned on our inside experts to share their expertise on remote work. Most recently, ourData & Analytics Director, who has been working remotely full time for five years, gave a presentation on best practices for working from home. His top tips for working from home include:
        • Minimize other windows in remote meetings.
        • Set a schedule and avoid midday chores.
        • Take breaks away from the screen.
        • Plan your workday on your shared calendar.
        • Be mindful of Slack and social media as a distraction.
        • Use timers.
        • Keep your work area separate from where you relax.
        • Pretend that you’re still working from work.
        • Experiment and figure out what works for you.

        Our UX Research Director also stepped up to share her expertise to aid in adjusting to our new working conditions. She led a microclass on remote facilitation where she shared best practices and went over tools that support remote collaboration. Some of the tools she highlighted included Miro, Mural, Whimsical, and Jamboard. During the microclass she demonstrated use of Whimsical’s voting feature, which makes it easy for distributed groups to establish discussion topic priorities.

        Always PreparedHaving all of our project materials stored in the Cloud in a consistent, predictable way is a cornerstone of our business continuity plan. It is more important than ever for our team to follow the established best practices and ensure that project files are accessible to the full Viget team in the event of unplanned time off. Our VP of Client Services is leading efforts to ensure everyone is aware of and following our established guidelines with tools like Drive, Slack, Github, and Figma. Our priorities are that clients’ needs are met, quality is high, and timelines are honored.

        As the pandemic unfolds, our approach to employee engagement will evolve. We have more things in the works to build and maintain connections while distributed, including trivia and game nights, book clubs, virtual movie nights, and community service opportunities, just to name a few. No matter what we’re doing or what tool we’re using to connect, we’ll be in it together: doing great work, being great teammates, and looking forward.


        Full Article

        • News & Culture
        the

        First impressions of the Fuji X-Pro2 (and the Fujinon 100-400mm lens)

        By feedproxy.google.com
        Published On :: Wed, 16 Mar 2016 20:16:47 +0000

        Fuji released their new flagship camera this month, the X-Pro2. It is the first X-series camera to feature a 24MP sensor (compared to 16MP before) and it has a very interesting hybrid optical & electronic view finder. When I first […]


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        the

        Why Collaborative Coding Is The Ultimate Career Hack

        By feedproxy.google.com
        Published On :: Fri, 24 Apr 2020 10:30:00 +0000

        Taking your first steps in programming is like picking up a foreign language. At first, the syntax makes no sense, the vocabulary is unfamiliar, and everything looks and sounds unintelligible. If you’re anything like me when I started, fluency feels impossible. I promise it isn’t. When I began coding, the learning curve hit me — hard. I spent ten months teaching myself the basics while trying to stave off feelings of self-doubt that I now recognize as imposter syndrome.


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        the

        How To Build A Vue Survey App Using Firebase Authentication And Database

        By feedproxy.google.com
        Published On :: Fri, 08 May 2020 11:00:00 +0000

        In this tutorial, you’ll be building a Survey App, where we’ll learn to validate our users form data, implement Authentication in Vue, and be able to receive survey data using Vue and Firebase (a BaaS platform). As we build this app, we’ll be learning how to handle form validation for different kinds of data, including reaching out to the backend to check if an email is already taken, even before the user submits the form during sign up.


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        the

        The Canon EOS R5 release gets closer as it passes Bluetooth certification

        By feedproxy.google.com
        Published On :: Thu, 07 May 2020 17:25:13 +0000

        We’re a big step closer to a Canon EOS R5 release announcement now, as Nokishita Tweets that it has passed its Bluetooth certification. The belief is that the EOS R5 was originally scheduled to ship in July, and Canon Rumors reports that they’ve been told that’ll still happen. With lockdowns still in effect in much […]

        The post The Canon EOS R5 release gets closer as it passes Bluetooth certification appeared first on DIY Photography.


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        the

        Photography Life makes all their paid premium courses free

        By feedproxy.google.com
        Published On :: Fri, 08 May 2020 09:10:59 +0000

        Photography Life has just contributed to the selection of online courses that you can take for free. While their premim courses are normally paid $150 per course, you can now access them free of charge. The founders have released them on YouTube, available for everyone to watch. The Photography Life team came to the decision […]

        The post Photography Life makes all their paid premium courses free appeared first on DIY Photography.


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        the

        Nikon has confirmed that their flagship D6 DSLR will start shipping on May 21st

        By feedproxy.google.com
        Published On :: Fri, 08 May 2020 11:06:35 +0000

        It feels like forever since Nikon announced their newest flagship DSLR; the Nikon D6. It’s actually only been three months, but that hasn’t stopped some people getting anxious. Recently, customers were being told that the D6 would start shipping right about now, but now Nikon has officially come out to announce that the Nikon D6 […]

        The post Nikon has confirmed that their flagship D6 DSLR will start shipping on May 21st appeared first on DIY Photography.


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        the

        eagereyesTV Episode 2: Unit Charts, Dot Plots, ISOTYPE, and What Makes Them Special

        By eagereyes.org
        Published On :: Wed, 09 Oct 2019 07:17:21 +0000

        Charts usually show values as visual properties, like the length in a bar chart, the location in a scatterplot, the area in a bubble chart, etc. Unit charts show values as multiples instead. One famous example of these charts is called ISOTYPE, and you may have seen them in information graphics as well. They’re an […]


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        the

        Paper: Evidence for Area as the Primary Visual Cue in Pie Charts

        By eagereyes.org
        Published On :: Thu, 17 Oct 2019 15:52:12 +0000

        How we read pie charts is still an open question: is it angle? Is it area? Is it arc length? In a study I'm presenting as a short paper at the IEEE VIS conference in Vancouver next week, I tried to tease the visual cues apart – using modeling and 3D pie charts. The big […]


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        the

        Prolific, the (Much Better) Mechnical Turk Alternative

        By eagereyes.org
        Published On :: Tue, 05 Nov 2019 07:17:08 +0000

        Prolific is a crowd-sourcing platform for running studies. In contrast to the widely-used Mechanical Turk, it’s specific to studies, has a much better interface, pricing that’s fair to participants, and useful filters to find the right people for your study. Amazon's Mechanical Turk is used for many empirical studies published in the visualization literature, but […]


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        the

        ISOTYPE Book: Young, Prager, There’s Work for All

        By eagereyes.org
        Published On :: Mon, 02 Dec 2019 01:54:26 +0000

        This book from 1945 contains a very interesting mix of different charts made by the ISOTYPE Institute, some classic and some quite unusual. As a book about labor and unemployment, it also makes extensive use of Gerd Arntz’s famous unemployed man icon. Michael Young and Theodor Prager’s There’s Work for All is part of a […]


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        the

        The Visual Evolution of the “Flattening the Curve” Information Graphic

        By eagereyes.org
        Published On :: Mon, 16 Mar 2020 04:10:24 +0000

        Communication has been quite a challenge during the COVID-19 pandemic, and data visualization hasn't been the most helpful given the low quality of the data – see Amanda Makulec's plea to think harder about making another coronavirus chart. A great example of how to do things right is the widely-circulated Flatten the Curve information graphic/cartoon. […]


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        the

        In Praise of the Diagonal Reference Line

        By eagereyes.org
        Published On :: Tue, 24 Mar 2020 05:51:19 +0000

        Annotations are what set visual communication and journalism apart from just visualization. They often consist of text, but some of the most useful annotations are graphical elements, and many of them are very simple. One type I have a particular fondness for is the diagonal reference line, which has been used to provide powerful context […]


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        the

        The entropy of holomorphic correspondences: exact computations and rational semigroups. (arXiv:2004.13691v1 [math.DS] CROSS LISTED)

        By arxiv.org
        Published On ::

        We study two notions of topological entropy of correspondences introduced by Friedland and Dinh-Sibony. Upper bounds are known for both. We identify a class of holomorphic correspondences whose entropy in the sense of Dinh-Sibony equals the known upper bound. This provides an exact computation of the entropy for rational semigroups. We also explore a connection between these two notions of entropy.


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        A Marstrand type slicing theorem for subsets of $mathbb{Z}^2 subset mathbb{R}^2$ with the mass dimension. (arXiv:2005.02813v2 [math.CO] UPDATED)

        By arxiv.org
        Published On ::

        We prove a Marstrand type slicing theorem for the subsets of the integer square lattice. This problem is the dual of the corresponding projection theorem, which was considered by Glasscock, and Lima and Moreira, with the mass and counting dimensions applied to subsets of $mathbb{Z}^{d}$. In this paper, more generally we deal with a subset of the plane that is $1$ separated, and the result for subsets of the integer lattice follow as a special case. We show that the natural slicing question in this setting is true with the mass dimension.


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        the

        On the affine Hecke category. (arXiv:2005.02647v2 [math.RT] UPDATED)

        By arxiv.org
        Published On ::

        We give a complete (and surprisingly simple) description of the affine Hecke category for $ ilde{A}_2$ in characteristic zero. More precisely, we calculate the Kazhdan-Lusztig polynomials, give a recursive formula for the projectors defining indecomposable objects and, for each coefficient of a Kazhdan-Lusztig polynomial, we produce a set of morphisms with such a cardinality.


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        the

        On the finiteness of ample models. (arXiv:2005.02613v2 [math.AG] UPDATED)

        By arxiv.org
        Published On ::

        In this paper, we generalize the finiteness of models theorem in [BCHM06] to Kawamata log terminal pairs with fixed Kodaira dimension. As a consequence, we prove that a Kawamata log terminal pair with $mathbb{R}-$boundary has a canonical model, and can be approximated by log pairs with $mathbb{Q}-$boundary and the same canonical model.


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        Almost invariant subspaces of the shift operator on vector-valued Hardy spaces. (arXiv:2005.02243v2 [math.FA] UPDATED)

        By arxiv.org
        Published On ::

        In this article, we characterize nearly invariant subspaces of finite defect for the backward shift operator acting on the vector-valued Hardy space which is a vectorial generalization of a result of Chalendar-Gallardo-Partington (C-G-P). Using this characterization of nearly invariant subspace under the backward shift we completely describe the almost invariant subspaces for the shift and its adjoint acting on the vector valued Hardy space.


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        the

        Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method. (arXiv:2004.14721v2 [math.SP] UPDATED)

        By arxiv.org
        Published On ::

        An inverse spectral problem for the Sturm-Liouville operator with a singular potential from the class $W_2^{-1}$ is solved by the method of spectral mappings. We prove the uniqueness theorem, develop a constructive algorithm for solution, and obtain necessary and sufficient conditions of solvability for the inverse problem in the self-adjoint and the non-self-adjoint cases


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        the

        An embedding of the Morse boundary in the Martin boundary. (arXiv:2004.14624v2 [math.GR] UPDATED)

        By arxiv.org
        Published On ::

        We construct a one-to-one continuous map from the Morse boundary of a hierarchically hyperbolic group to its Martin boundary. This construction is based on deviation inequalities generalizing Ancona's work on hyperbolic groups. This provides a possibly new metrizable topology on the Morse boundary of such groups. We also prove that the Morse boundary has measure 0 with respect to the harmonic measure unless the group is hyperbolic.


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        Complete reducibility: Variations on a theme of Serre. (arXiv:2004.14604v2 [math.GR] UPDATED)

        By arxiv.org
        Published On ::

        In this note, we unify and extend various concepts in the area of $G$-complete reducibility, where $G$ is a reductive algebraic group. By results of Serre and Bate--Martin--R"{o}hrle, the usual notion of $G$-complete reducibility can be re-framed as a property of an action of a group on the spherical building of the identity component of $G$. We show that other variations of this notion, such as relative complete reducibility and $sigma$-complete reducibility, can also be viewed as special cases of this building-theoretic definition, and hence a number of results from these areas are special cases of more general properties.


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        the

        On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations. (arXiv:2004.12660v3 [math.AP] UPDATED)

        By arxiv.org
        Published On ::

        In this paper, we mainly establish the existence and uniqueness theorem for solutions of the exterior Dirichlet problem for a class of fully nonlinear second-order elliptic equations related to the eigenvalues of the Hessian, with prescribed generalized symmetric asymptotic behavior at infinity. Moreover, we give some new results for the Hessian equations, Hessian quotient equations and the special Lagrangian equations, which have been studied previously.


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        Automorphisms of shift spaces and the Higman--Thomspon groups: the one-sided case. (arXiv:2004.08478v2 [math.GR] UPDATED)

        By arxiv.org
        Published On ::

        Let $1 le r < n$ be integers. We give a proof that the group $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$ of automorphisms of the one-sided shift on $n$ letters embeds naturally as a subgroup $mathcal{h}_{n}$ of the outer automorphism group $mathop{mathrm{Out}}(G_{n,r})$ of the Higman-Thompson group $G_{n,r}$. From this, we can represent the elements of $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$ by finite state non-initial transducers admitting a very strong synchronizing condition.

        Let $H in mathcal{H}_{n}$ and write $|H|$ for the number of states of the minimal transducer representing $H$. We show that $H$ can be written as a product of at most $|H|$ torsion elements. This result strengthens a similar result of Boyle, Franks and Kitchens, where the decomposition involves more complex torsion elements and also does not support practical extit{a priori} estimates of the length of the resulting product.

        We also give new proofs of some known results about $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$.


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        Equivalence of classical and quantum completeness for real principal type operators on the circle. (arXiv:2004.07547v3 [math.AP] UPDATED)

        By arxiv.org
        Published On ::

        In this article, we prove that the completeness of the Hamilton flow and essential self-dajointness are equivalent for real principal type operators on the circle. Moreover, we study spectral properties of these operators.


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        the

        On the Asymptotic $u_0$-Expected Flooding Time of Stationary Edge-Markovian Graphs. (arXiv:2004.03660v4 [math.PR] UPDATED)

        By arxiv.org
        Published On ::

        Consider that $u_0$ nodes are aware of some piece of data $d_0$. This note derives the expected time required for the data $d_0$ to be disseminated through-out a network of $n$ nodes, when communication between nodes evolves according to a graphical Markov model $overline{ mathcal{G}}_{n,hat{p}}$ with probability parameter $hat{p}$. In this model, an edge between two nodes exists at discrete time $k in mathbb{N}^+$ with probability $hat{p}$ if this edge existed at $k-1$, and with probability $(1-hat{p})$ if this edge did not exist at $k-1$. Each edge is interpreted as a bidirectional communication link over which data between neighbors is shared. The initial communication graph is assumed to be an Erdos-Renyi random graph with parameters $(n,hat{p})$, hence we consider a emph{stationary} Markov model $overline{mathcal{G}}_{n,hat{p}}$. The asymptotic "$u_0$-expected flooding time" of $overline{mathcal{G}}_{n,hat{p}}$ is defined as the expected number of iterations required to transmit the data $d_0$ from $u_0$ nodes to $n$ nodes, in the limit as $n$ approaches infinity. Although most previous results on the asymptotic flooding time in graphical Markov models are either emph{almost sure} or emph{with high probability}, the bounds obtained here are emph{in expectation}. However, our bounds are tighter and can be more complete than previous results.


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        the

        $L^p$-regularity of the Bergman projection on quotient domains. (arXiv:2004.02598v2 [math.CV] UPDATED)

        By arxiv.org
        Published On ::

        We relate the $L^p$-mapping properties of the Bergman projections on two domains in $mathbb{C}^n$, one of which is the quotient of the other under the action of a finite group of biholomorphic automorphisms. We use this relation to deduce the sharp ranges of $L^p$-boundedness of the Bergman projection on certain $n$-dimensional model domains generalizing the Hartogs triangle.


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        the

        Set-Theoretical Problems in Asymptology. (arXiv:2004.01979v3 [math.GN] UPDATED)

        By arxiv.org
        Published On ::

        In this paper we collect some open set-theoretic problems that appear in the large-scale topology (called also Asymptology). In particular we ask problems about critical cardinalities of some special (large, indiscrete, inseparated) coarse structures on $omega$, about the interplay between properties of a coarse space and its Higson corona, about some special ultrafilters ($T$-points and cellular $T$-points) related to finitary coarse structures on $omega$, about partitions of coarse spaces into thin pieces, and also about coarse groups having some extremal properties.


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        the

        Set theoretic Yang-Baxter & reflection equations and quantum group symmetries. (arXiv:2003.08317v3 [math-ph] UPDATED)

        By arxiv.org
        Published On ::

        Connections between set theoretic Yang-Baxter and reflection equations and quantum integrable systems are investigated. We show that set theoretic $R$-matrices are expressed as twists of known solutions. We then focus on reflection and twisted algebras and we derive the associated defining algebra relations for $R$-matrices being Baxterized solutions of the $A$-type Hecke algebra ${cal H}_N(q=1)$. We show in the case of the reflection algebra that there exists a "boundary" finite sub-algebra for some special choice of "boundary" elements of the $B$-type Hecke algebra ${cal B}_N(q=1, Q)$. We also show the key proposition that the associated double row transfer matrix is essentially expressed in terms of the elements of the $B$-type Hecke algebra. This is one of the fundamental results of this investigation together with the proof of the duality between the boundary finite subalgebra and the $B$-type Hecke algebra. These are universal statements that largely generalize previous relevant findings, and also allow the investigation of the symmetries of the double row transfer matrix.


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        the

        The Shearlet Transform and Lizorkin Spaces. (arXiv:2003.06642v2 [math.FA] UPDATED)

        By arxiv.org
        Published On ::

        We prove a continuity result for the shearlet transform when restricted to the space of smooth and rapidly decreasing functions with all vanishing moments. We define the dual shearlet transform, called here the shearlet synthesis operator, and we prove its continuity on the space of smooth and rapidly decreasing functions over $mathbb{R}^2 imesmathbb{R} imesmathbb{R}^ imes$. Then, we use these continuity results to extend the shearlet transform to the space of Lizorkin distributions, and we prove its consistency with the classical definition for test functions.


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        Weak-strong uniqueness for an elastic plate interacting with the Navier Stokes equation. (arXiv:2003.04049v2 [math.AP] UPDATED)

        By arxiv.org
        Published On ::

        We show weak-strong uniqueness and stability results for the motion of a two or three dimensional fluid governed by the Navier-Stokes equation interacting with a flexible, elastic plate of Koiter type. The plate is situated at the top of the fluid and as such determines the variable part of a time changing domain (that is hence a part of the solution) containing the fluid. The uniqueness result is a consequence of a stability estimate where the difference of two solutions is estimated by the distance of the initial values and outer forces. For that we introduce a methodology that overcomes the problem that the two (variable in time) domains of the fluid velocities and pressures are not the same. The estimate holds under the assumption that one of the two weak solutions possesses some additional higher regularity. The additional regularity is exclusively requested for the velocity of one of the solutions resembling the celebrated Ladyzhenskaya-Prodi-Serrin conditions in the framework of variable domains.


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        The $kappa$-Newtonian and $kappa$-Carrollian algebras and their noncommutative spacetimes. (arXiv:2003.03921v2 [hep-th] UPDATED)

        By arxiv.org
        Published On ::

        We derive the non-relativistic $c oinfty$ and ultra-relativistic $c o 0$ limits of the $kappa$-deformed symmetries and corresponding spacetime in (3+1) dimensions, with and without a cosmological constant. We apply the theory of Lie bialgebra contractions to the Poisson version of the $kappa$-(A)dS quantum algebra, and quantize the resulting contracted Poisson-Hopf algebras, thus giving rise to the $kappa$-deformation of the Newtonian (Newton-Hooke and Galilei) and Carrollian (Para-Poincar'e, Para-Euclidean and Carroll) quantum symmetries, including their deformed quadratic Casimir operators. The corresponding $kappa$-Newtonian and $kappa$-Carrollian noncommutative spacetimes are also obtained as the non-relativistic and ultra-relativistic limits of the $kappa$-(A)dS noncommutative spacetime. These constructions allow us to analyze the non-trivial interplay between the quantum deformation parameter $kappa$, the curvature parameter $eta$ and the speed of light parameter $c$.


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        A stochastic approach to the synchronization of coupled oscillators. (arXiv:2002.04472v2 [nlin.AO] UPDATED)

        By arxiv.org
        Published On ::

        This paper deals with an optimal control problem associated to the Kuramoto model describing the dynamical behavior of a network of coupled oscillators. Our aim is to design a suitable control function allowing us to steer the system to a synchronized configuration in which all the oscillators are aligned on the same phase. This control is computed via the minimization of a given cost functional associated with the dynamics considered. For this minimization, we propose a novel approach based on the combination of a standard Gradient Descent (GD) methodology with the recently-developed Random Batch Method (RBM) for the efficient numerical approximation of collective dynamics. Our simulations show that the employment of RBM improves the performances of the GD algorithm, reducing the computational complexity of the minimization process and allowing for a more efficient control calculation.


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        Eigenvalues of the Finsler $p$-Laplacian on varying domains. (arXiv:1912.00152v4 [math.AP] UPDATED)

        By arxiv.org
        Published On ::

        We study the dependence of the first eigenvalue of the Finsler $p$-Laplacian and the corresponding eigenfunctions upon perturbation of the domain and we generalize a few results known for the standard $p$-Laplacian. In particular, we prove a Frech'{e}t differentiability result for the eigenvalues, we compute the corresponding Hadamard formulas and we prove a continuity result for the eigenfunctions. Finally, we briefly discuss a well-known overdetermined problem and we show how to deduce the Rellich-Pohozaev identity for the Finsler $p$-Laplacian from the Hadamard formula.


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        the

        A one-loop exact quantization of Chern-Simons theory. (arXiv:1910.05230v2 [math-ph] UPDATED)

        By arxiv.org
        Published On ::

        We examine Chern-Simons theory as a deformation of a 3-dimensional BF theory that is partially holomorphic and partially topological. In particular, we introduce a novel gauge that leads naturally to a one-loop exact quantization of this BF theory and Chern-Simons theory. This approach illuminates several important features of Chern-Simons theory, notably the bulk-boundary correspondence of Chern-Simons theory with chiral WZW theory. In addition to rigorously constructing the theory, we also explain how it applies to a large class of closely related 3-dimensional theories and some of the consequences for factorization algebras of observables.


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        Khintchine-type theorems for values of subhomogeneous functions at integer points. (arXiv:1910.02067v2 [math.NT] UPDATED)

        By arxiv.org
        Published On ::

        This work has been motivated by recent papers that quantify the density of values of generic quadratic forms and other polynomials at integer points, in particular ones that use Rogers' second moment estimates. In this paper we establish such results in a very general framework. Namely, given any subhomogeneous function (a notion to be defined) $f: mathbb{R}^n o mathbb{R}$, we derive a necessary and sufficient condition on the approximating function $psi$ for guaranteeing that a generic element $fcirc g$ in the $G$-orbit of $f$ is $psi$-approximable; that is, $|fcirc g(mathbf{v})| le psi(|mathbf{v}|)$ for infinitely many $mathbf{v} in mathbb{Z}^n$. We also deduce a sufficient condition in the case of uniform approximation. Here, $G$ can be any closed subgroup of $operatorname{ASL}_n(mathbb{R})$ satisfying certain axioms that allow for the use of Rogers-type estimates.


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        Monochromatic Equilateral Triangles in the Unit Distance Graph. (arXiv:1909.09856v2 [math.CO] UPDATED)

        By arxiv.org
        Published On ::

        Let $chi_{Delta}(mathbb{R}^{n})$ denote the minimum number of colors needed to color $mathbb{R}^{n}$ so that there will not be a monochromatic equilateral triangle with side length $1$. Using the slice rank method, we reprove a result of Frankl and Rodl, and show that $chi_{Delta}left(mathbb{R}^{n} ight)$ grows exponentially with $n$. This technique substantially improves upon the best known quantitative lower bounds for $chi_{Delta}left(mathbb{R}^{n} ight)$, and we obtain [ chi_{Delta}left(mathbb{R}^{n} ight)>(1.01446+o(1))^{n}. ]


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        Convolutions on the complex torus. (arXiv:1908.11815v3 [math.RA] UPDATED)

        By arxiv.org
        Published On ::

        "Quasi-elliptic" functions can be given a ring structure in two different ways, using either ordinary multiplication, or convolution. The map between the corresponding standard bases is calculated and given by Eisenstein series. A related structure has appeared recently in the computation of Feynman integrals. The two approaches are related by a sequence of polynomials with interlacing zeroes.


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        Nonlinear stability of explicit self-similar solutions for the timelike extremal hypersurfaces in R^{1+3}. (arXiv:1907.01126v2 [math.AP] UPDATED)

        By arxiv.org
        Published On ::

        This paper is devoted to the study of the singularity phenomenon of timelike extremal hypersurfaces in Minkowski spacetime $mathbb{R}^{1+3}$. We find that there are two explicit lightlike self-similar solutions to a graph representation of timelike extremal hypersurfaces in Minkowski spacetime $mathbb{R}^{1+3}$, the geometry of them are two spheres. The linear mode unstable of those lightlike self-similar solutions for the radially symmetric membranes equation is given. After that, we show those self-similar solutions of the radially symmetric membranes equation are nonlinearly stable inside a strictly proper subset of the backward lightcone. This means that the dynamical behavior of those two spheres is as attractors. Meanwhile, we overcome the double roots case (the theorem of Poincar'{e} can't be used) in solving the difference equation by construction of a Newton's polygon when we carry out the analysis of spectrum for the linear operator.


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        Representations of the Infinite-Dimensional $p$-Adic Affine Group. (arXiv:1906.08964v2 [math.RT] UPDATED)

        By arxiv.org
        Published On ::

        We introduce an infinite-dimensional $p$-adic affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for the diffeomorphism group, but with modifications made necessary by the fact that the group does not act on the phase space. However it is possible to define its action on some classes of functions.


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        Grothendieck's inequalities for JB$^*$-triples: Proof of the Barton-Friedman conjecture. (arXiv:1903.08931v3 [math.OA] UPDATED)

        By arxiv.org
        Published On ::

        We prove that, given a constant $K> 2$ and a bounded linear operator $T$ from a JB$^*$-triple $E$ into a complex Hilbert space $H$, there exists a norm-one functional $psiin E^*$ satisfying $$|T(x)| leq K , |T| , |x|_{psi},$$ for all $xin E$. Applying this result we show that, given $G > 8 (1+2sqrt{3})$ and a bounded bilinear form $V$ on the Cartesian product of two JB$^*$-triples $E$ and $B$, there exist norm-one functionals $varphiin E^{*}$ and $psiin B^{*}$ satisfying $$|V(x,y)| leq G |V| , |x|_{varphi} , |y|_{psi}$$ for all $(x,y)in E imes B$. These results prove a conjecture pursued during almost twenty years.


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        Diophantine Equations Involving the Euler Totient Function. (arXiv:1902.01638v4 [math.NT] UPDATED)

        By arxiv.org
        Published On ::

        We deal with various Diophantine equations involving the Euler totient function and various sequences of numbers, including factorials, powers, and Fibonacci sequences.


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        On the automorphic sheaves for GSp_4. (arXiv:1901.04447v6 [math.RT] UPDATED)

        By arxiv.org
        Published On ::

        In this paper we first review the setting for the geometric Langlands functoriality and establish a result for the `backward' functoriality functor. We illustrate this by known examples of the geometric theta-lifting. We then apply the above result to obtain new Hecke eigen-sheaves. The most important application is a construction of the automorphic sheaf for G=GSp_4 attached to a G^L-local system on a curve X such that its standard representation is an irreducible local system of rank 4 on X.


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        On $p$-groups with automorphism groups related to the exceptional Chevalley groups. (arXiv:1810.08365v3 [math.GR] UPDATED)

        By arxiv.org
        Published On ::

        Let $hat G$ be the finite simply connected version of an exceptional Chevalley group, and let $V$ be a nontrivial irreducible module, of minimal dimension, for $hat G$ over its field of definition. We explore the overgroup structure of $hat G$ in $mathrm{GL}(V)$, and the submodule structure of the exterior square (and sometimes the third Lie power) of $V$. When $hat G$ is defined over a field of odd prime order $p$, this allows us to construct the smallest (with respect to certain properties) $p$-groups $P$ such that the group induced by $mathrm{Aut}(P)$ on $P/Phi(P)$ is either $hat G$ or its normaliser in $mathrm{GL}(V)$.


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