1 New Gallery: Winterlichter Palmengarten Jan 2016 By feedproxy.google.com Published On :: Tue, 19 Jan 2016 20:44:39 +0000 Winterlichter Palmengarten Jan 2016 Full Article Uncategorized Changing Perspectives IFTTT
1 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 […] Full Article Hardware Thoughts
1 Best of 2016 By feedproxy.google.com Published On :: Sun, 18 Dec 2016 16:52:54 +0000 This year went by in a hurry and now it is late December already and Jim Goldstein is running his blog project again, asking for galleries of everyones best photos of the year. Of course I knew I had to […] Full Article Best of Photo
1 Best of 2017 By feedproxy.google.com Published On :: Sun, 24 Dec 2017 12:03:02 +0000 As in years past Jim Goldstein is running his annual “Best Of” photography blog project in which I have participated since 2008. Usually I had a few thousand images to sort through. This year has been a rather sparse photo […] Full Article Best of Photo
1 Best of 2018 By feedproxy.google.com Published On :: Tue, 18 Dec 2018 13:34:09 +0000 Another year has almost passed and as has become tradition Jim Goldstein is running his annual Blog Project. You can find my entries for years past right here on my blog. This year I took a lot of images early […] Full Article Best of Photo
1 Best of 2019 By feedproxy.google.com Published On :: Thu, 26 Dec 2019 11:24:32 +0000 Another year – and in this case another decade – coming to an end. I haven’t had many chances to go take photos this year. In fact my battery charger got lost for months… just so you know how little […] Full Article Best of Photo
1 Winterlichter Palmengarten Dec. 2019 By feedproxy.google.com Published On :: Sat, 28 Dec 2019 12:27:57 +0000 Full Article
1 Mirage JS Deep Dive: Understanding Mirage JS Models And Associations (Part 1) By feedproxy.google.com Published On :: Thu, 30 Apr 2020 09:30:00 +0000 Mirage JS is helping simplify modern front-end development by providing the ability for front-end engineers to craft applications without relying on an actual back-end service. In this article, I’ll be taking a framework-agnostic approach to show you Mirage JS models and associations. If you haven’t heard of Mirage JS, you can read my previous article in which I introduce it and also integrate it with the progressive framework Vue.js. Full Article
1 Smashing Podcast Episode 15 With Phil Smith: How Can I Build An App In 10 Days? By feedproxy.google.com Published On :: Tue, 05 May 2020 05:00:00 +0000 In this episode of the Smashing Podcast, we’re talking about building apps on a tight timeline. How can you quickly turn around a project to respond to an emerging situation like COVID-19? Drew McLellan talks to Phil Smith to find out. Show Notes CardMedic React Native React Native for Web Expo Apiary Phil’s company amillionmonkeys Phil’s personal blog and Twitter Weekly Update Getting Started With Nuxt Implementing Dark Mode In React Apps Using styled-components How To Succeed In Wireframe Design Mirage JS Deep Dive: Understanding Mirage JS Models And Associations (Part 1) Readability Algorithms Should Be Tools, Not Targets Transcript Drew McLellan: He is director of the full-stack web development studio amillionmonkeys, where he partners with business owners and creative agencies to build digital products that make an impact. Full Article
1 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. Full Article news Availability Nikon D6
1 Godox’s new SL150/SL200 Mark II LED lights offer fanless “silent mode” operation By feedproxy.google.com Published On :: Sat, 09 May 2020 11:14:24 +0000 The Godox SL series LED lights have proven to be extremely popular due to their low cost. Two of the models in that range, the SL150 and SL200 have seen a Mark II update today, according to an email that Godox has been sending out today. One of the features of the new SL150II and […] The post Godox’s new SL150/SL200 Mark II LED lights offer fanless “silent mode” operation appeared first on DIY Photography. Full Article news Gear Announcement godox LED lights SL150II SL200II
1 Ça va bien aller! By feedproxy.google.com Published On :: Tue, 24 Mar 2020 23:40:30 +0000 St-Donat, Bas-St-Laurent, Québec Full Article aérienne Paysage Printemps St-Donat printemps rural village
1 Ça fond à St-Donat By feedproxy.google.com Published On :: Sun, 19 Apr 2020 15:19:24 +0000 St-Donat, Bas-St-Laurent, Québec Full Article aérienne Noir et blanc Paysage Printemps St-Donat printemps riviere village
1 À l’ombre de la montagne By feedproxy.google.com Published On :: Fri, 01 May 2020 22:40:44 +0000 St-Donat, Bas-St-Laurent, Québec Full Article aérienne Paysage Printemps St-Donat montagne rural village
1 eagereyesTV: What is Data? Part 1, File Formats and Intent By eagereyes.org Published On :: Wed, 06 Nov 2019 16:07:40 +0000 We all use data all the time, but what exactly is data? How do different programs know what to do with our data? How is visualizing data different from other uses of data? And isn’t everything inside a computer data in the end? The latest episode of eagereyesTV looks at what data is and what […] Full Article Blog 2019 data eagereyesTV
1 Corners Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:05:08 -0400 We have a new preview on https://www.007soccerpicks.com/sunday-matches/corners-picks-sunday-17-september-2017/Corners Picks *** Sunday *** 17 September 2017 MATCH CORNERS PICKS To return: ??? USD Odds: 1.55 Stake: 100 USD Starting in Teams Our Prediction Odds Chelsea - Arsenal Soccer: Premier League OVER 9.5 CORNERS 1.55 Full Article corners free picks corners tips and picks MATCH CORNERS Sunday Matches
1 Half Time Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:14:31 -0400 We have a new preview on https://www.007soccerpicks.com/sunday-matches/half-time-picks-sunday-17-september-2017/Half Time Picks *** Sunday *** 17 September 2017 HALF TIME PICKS To return: ??? USD Odds: 7.43 Stake: 100 USD Starting in Teams Half Time Our Pick Odds Alaves - Villarreal Soccer: Spain - LaLiga HALF TIME X 2.01 Zenit Petersburg - Ufa Soccer: Russia -… Full Article halftime picks and tips halftime predictions HALF TIME RESULT Sunday Matches
1 Goals Scored Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:14:54 -0400 We have a new preview on https://www.007soccerpicks.com/sunday-matches/goals-scored-picks-sunday-17-september-2017/Goals Scored Picks *** Sunday *** 17 September 2017 MATCH GOALS PICKS To return: ??? USD Odds: 6.44 Stake: 100 USD Starting in Teams Our Prediction Odds Amiens - Marseille Soccer: France - Ligue 1 UNDER 2.5 1.85 AC Milan - Udinese Soccer: Italy - Serie A… Full Article over 2.5 goals tips under 2.5 goals tips MATCH GOALS Sunday Matches
1 Fulltime Result Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:44:09 -0400 We have a new preview on https://www.007soccerpicks.com/sunday-matches/fulltime-result-picks-sunday-17-september-2017/Fulltime Result Picks *** Sunday *** 17 September 2017 FULLTIME PICKS To return: ??? USD Odds: 3.88 Stake: 100 USD Starting in Teams Our Prediction Odds Waregem - Mouscron Soccer: Belgium - Jupiler League 1 1.61 Sassuolo - Juventus Soccer: Italy - Serie… Full Article fulltime predictions fulltime tips and picks FULLTIME RESULT Sunday Matches
1 Double Chance Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:45:05 -0400 We have a new preview on https://www.007soccerpicks.com/sunday-matches/double-chance-picks-sunday-17-september-2017/Double Chance Picks *** Sunday *** 17 September 2017 DOUBLE CHANCE PICKS To return: ??? USD Odds: 2.80 Stake: 100 USD Starting in Teams Our Prediction Odds Las Palmas - Ath Bilbao Soccer: Spain - LaLiga X2 1.45 Chievo - Atalanta Soccer: Italy - Serie… Full Article double chance picks double chance tips DOUBLE CHANCE Sunday Matches
1 Both teams to score Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:52:01 -0400 We have a new preview on https://www.007soccerpicks.com/sunday-matches/teams-score-picks-sunday-17-september-2017/Both teams to score Picks *** Sunday *** 17 September 2017 BOTH TEAMS TO SCORE To return: ??? USD Odds: 5.36 Stake: 100 USD Starting in Teams BTS Our Pick Odds Tosno - Spartak Moscow Soccer: Russia - Premier League Both to score NO 1.53 Chelsea - Arsenal Soccer:… Full Article both teams to score picks both teams to score tips Both teams to score Sunday Matches
1 Double Chance Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:01:41 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/double-chance-picks-monday-18-september-2017/Double Chance Picks *** Monday *** 18 September 2017 DOUBLE CHANCE PICKS To return: ??? USD Odds: 2.03 Stake: 100 USD Starting in Teams Our Prediction Odds Espanyol - Celta Vigo Soccer: Spain - LaLiga 1X 1.29 AFC Eskilstuna - Sundsvall Soccer: Sweden -… Full Article double chance picks double chance tips DOUBLE CHANCE Monday Matches
1 Fulltime Result Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:02:01 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/fulltime-result-picks-monday-18-september-2017/Fulltime Result Picks *** Monday *** 18 September 2017 FULLTIME PICKS To return: ??? USD Odds: 3.77 Stake: 100 USD Starting in Teams Our Prediction Odds Plzen - Zlin Soccer: Czech Republic - 1. Liga 1 1.39 Odd - Aalesund Soccer: Norway -… Full Article fulltime predictions fulltime tips and picks FULLTIME RESULT Monday Matches
1 Both teams to score Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:02:38 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/teams-score-picks-monday-18-september-2017/Both teams to score Picks *** Monday *** 18 September 2017 BOTH TEAMS TO SCORE To return: ??? USD Odds: 5.26 Stake: 100 USD Starting in Teams BTS Our Pick Odds Lokomotiv Moscow - Amkar Soccer: Russia - Premier League Both to score NO 1.50 Astra - FC… Full Article both teams to score picks both teams to score tips Both teams to score Monday Matches
1 Corners Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:03:55 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/corners-picks-monday-18-september-2017/Corners Picks *** Monday *** 18 September 2017 MATCH CORNERS PICKS To return: ??? USD Odds: 1.55 Stake: 100 USD Starting in Teams Our Prediction Odds Espanyol - Celta Vigo Soccer: Spain - LaLiga OVER 9.5 CORNERS 1.55 Full Article corners picks corners predictions MATCH CORNERS Monday Matches
1 Asian Handicap Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:04:59 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/asian-handicap-picks-monday-18-september-2017/Asian Handicap Picks *** Monday *** 18 September 2017 ASIAN HANDICAP PICKS To return: ??? USD Odds: 5.83 Stake: 100 USD Starting in Teams Our Prediction goes for Odds Lokomotiv Moscow - Amkar Soccer: Russia - Premier League L. Moscow -0.5 1.55 Odd -… Full Article asian handicap picks asian handicap tips ASIAN HANDICAP Monday Matches
1 Goals Scored Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:06:27 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/goals-scored-picks-monday-18-september-2017/Goals Scored Picks *** Monday *** 18 September 2017 MATCH GOALS PICKS To return: ??? USD Odds: 4.56 Stake: 100 USD Starting in Teams Our Prediction Odds Astra - FC Viitorul Soccer: Romania - Liga 1 UNDER 2.5 1.60 Espanyol - Celta Vigo Soccer: Spain - LaLiga… Full Article over 2.5 goals tips under 2.5 goals tips MATCH GOALS Monday Matches
1 Half Time Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:07:40 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/half-time-picks-monday-18-september-2017/Half Time Picks *** Monday *** 18 September 2017 HALF TIME PICKS To return: ??? USD Odds: 8.39 Stake: 100 USD Starting in Teams Half Time Our Pick Odds Espanyol - Celta Vigo Soccer: Spain - LaLiga HALF TIME X 2.07 Lokomotiv Moscow - Amkar Soccer: Russia… Full Article halftime picks and tips halftime predictions HALF TIME RESULT Monday Matches
1 Goals Scored Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:01 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/goals-scored-picks-tuesday-19-september-2017/Goals Scored Picks *** Tuesday *** 19 September 2017 MATCH GOALS PICKS To return: ??? USD Odds: 6.27 Stake: 100 USD Starting in Teams Our Prediction Odds Burnley - Leeds Soccer: England - Carabao Cup OVER 2.5 2.00 Schalke - Bayern Munich Soccer: Germany -… Full Article over 2.5 goals tips under 2.5 goals predictions MATCH GOALS Tuesday Matches
1 Half Time Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:21 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/half-time-picks-tuesday-19-september-2017/Half Time Picks *** Tuesday *** 19 September 2017 HALF TIME PICKS To return: ??? USD Odds: 6.93 Stake: 100 USD Starting in Teams Half Time Our Pick Odds Crystal Palace - Huddersfield Soccer: England - Carabao Cup HALF TIME X 2.10 FC Augsburg - RB… Full Article halftime picks halftime predictions and tips HALF TIME RESULT Tuesday Matches
1 Asian Handicap Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:22 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/asian-handicap-picks-tuesday-19-september-2017/Asian Handicap Picks *** Tuesday *** 19 September 2017 ASIAN HANDICAP PICKS To return: ??? USD Odds: 4.08 Stake: 100 USD Starting in Teams Our Prediction goes for Odds West Ham - Bolton Soccer: England - Carabao Cup West Ham -0.5 1.55 Bologna - Inter Soccer:… Full Article asian handicap picks asian handicap tips ASIAN HANDICAP Tuesday Matches
1 Double Chance Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:25 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/double-chance-picks-tuesday-19-september-2017/Double Chance Picks *** Tuesday *** 19 September 2017 DOUBLE CHANCE PICKS To return: ??? USD Odds: 1.95 Stake: 100 USD Starting in Teams Our Prediction Odds Bournemouth - Brighton Soccer: England - Carabao Cup 1X 1.20 Wolfsburg - SV Werder Bremen Soccer: Germany… Full Article double chance predictions double chance tips DOUBLE CHANCE Tuesday Matches
1 Fulltime Result Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:34 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/fulltime-result-picks-tuesday-19-september-2017/Fulltime Result Picks *** Tuesday *** 19 September 2017 FULLTIME PICKS To return: ??? USD Odds: 5.40 Stake: 100 USD Starting in Teams Our Prediction Odds GAIS - Frej Soccer: Sweden - Superettan 1 1.82 Bologna - Inter Soccer: Italy - Serie… Full Article fulltime picks fulltime predictions and tips FULLTIME RESULT Tuesday Matches
1 Corners Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:38 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/corners-picks-tuesday-19-september-2017/Corners Picks *** Tuesday *** 19 September 2017 MATCH CORNERS PICKS To return: ??? USD Odds: 1.55 Stake: 100 USD Starting in Teams Our Prediction Odds Valencia - Malaga Soccer: Spain - LaLiga OVER 9.5 CORNERS 1.55 Full Article corners free tips corners picks MATCH CORNERS Tuesday Matches
1 Both teams to score Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:07:46 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/teams-score-picks-tuesday-19-september-2017/Both teams to score Picks *** Tuesday *** 19 September 2017 BOTH TEAMS TO SCORE To return: ??? USD Odds: 4.75 Stake: 100 USD Starting in Teams BTS Our Pick Odds Schalke - Bayern Munich Soccer: Germany - Bundesliga Both to score YES 1.60 Leicester -… Full Article both teams to score picks both teams to score tips Both teams to score Tuesday Matches
1 Non-associative Frobenius algebras for simply laced Chevalley groups. (arXiv:2005.02625v1 [math.RA] CROSS LISTED) By arxiv.org Published On :: We provide an explicit construction for a class of commutative, non-associative algebras for each of the simple Chevalley groups of simply laced type. Moreover, we equip these algebras with an associating bilinear form, which turns them into Frobenius algebras. This class includes a 3876-dimensional algebra on which the Chevalley group of type E8 acts by automorphisms. We also prove that these algebras admit the structure of (axial) decomposition algebras. Full Article
1 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. Full Article
1 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. Full Article
1 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. Full Article
1 Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations. (arXiv:2005.02311v2 [math.AP] UPDATED) By arxiv.org Published On :: One proves the existence and uniqueness of a generalized (mild) solution for the nonlinear Fokker--Planck equation (FPE) egin{align*} &u_t-Delta (eta(u))+{mathrm{ div}}(D(x)b(u)u)=0, quad tgeq0, xinmathbb{R}^d, d e2, \ &u(0,cdot)=u_0,mbox{in }mathbb{R}^d, end{align*} where $u_0in L^1(mathbb{R}^d)$, $etain C^2(mathbb{R})$ is a nondecreasing function, $bin C^1$, bounded, $bgeq 0$, $Din(L^2cap L^infty)(mathbb{R}^d;mathbb{R}^d)$ with ${ m div}, Din L^infty(mathbb{R}^d)$, and ${ m div},Dgeq0$, $eta$ strictly increasing, if $b$ is not constant. Moreover, $t o u(t,u_0)$ is a semigroup of contractions in $L^1(mathbb{R}^d)$, which leaves invariant the set of probability density functions in $mathbb{R}^d$. If ${ m div},Dgeq0$, $eta'(r)geq a|r|^{alpha-1}$, and $|eta(r)|leq C r^alpha$, $alphageq1,$ $alpha>frac{d-2}d$, $dgeq3$, then $|u(t)|_{L^infty}le Ct^{-frac d{d+(alpha-1)d}} |u_0|^{frac2{2+(m-1)d}},$ $t>0$, and the existence extends to initial data $u_0$ in the space $mathcal{M}_b$ of bounded measures in $mathbb{R}^d$. The solution map $mumapsto S(t)mu$, $tgeq0$, is a Lipschitz contractions on $mathcal{M}_b$ and weakly continuous in $tin[0,infty)$. As a consequence for arbitrary initial laws, we obtain weak solutions to a class of McKean-Vlasov SDEs with coefficients which have singular dependence on the time marginal laws. Full Article
1 Nonlinear singular problems with indefinite potential term. (arXiv:2005.01789v3 [math.AP] UPDATED) By arxiv.org Published On :: We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular term and of concave and convex nonlinearities. In this paper the concave term is parametric. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter $lambda$ varies. This work continues our research published in arXiv:2004.12583, where $xi equiv 0 $ and in the reaction the parametric term is the singular one. Full Article
1 Entropy and Emergence of Topological Dynamical Systems. (arXiv:2005.01548v2 [math.DS] UPDATED) By arxiv.org Published On :: A topological dynamical system $(X,f)$ induces two natural systems, one is on the probability measure spaces and other one is on the hyperspace. We introduce a concept for these two spaces, which is called entropy order, and prove that it coincides with topological entropy of $(X,f)$. We also consider the entropy order of an invariant measure and a variational principle is established. Full Article
1 Resonances as Viscosity Limits for Exponentially Decaying Potentials. (arXiv:2005.01257v2 [math.SP] UPDATED) By arxiv.org Published On :: We show that the complex absorbing potential (CAP) method for computing scattering resonances applies to the case of exponentially decaying potentials. That means that the eigenvalues of $-Delta + V - iepsilon x^2$, $|V(x)|leq e^{-2gamma |x|}$ converge, as $ epsilon o 0+ $, to the poles of the meromorphic continuation of $ ( -Delta + V -lambda^2 )^{-1} $ uniformly on compact subsets of $ extrm{Re},lambda>0$, $ extrm{Im},lambda>-gamma$, $arglambda > pi/8$. Full Article
1 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 Full Article
1 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. Full Article
1 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. Full Article
1 Lagrangian geometry of matroids. (arXiv:2004.13116v2 [math.CO] UPDATED) By arxiv.org Published On :: We introduce the conormal fan of a matroid M, which is a Lagrangian analog of the Bergman fan of M. We use the conormal fan to give a Lagrangian interpretation of the Chern-Schwartz-MacPherson cycle of M. This allows us to express the h-vector of the broken circuit complex of M in terms of the intersection theory of the conormal fan of M. We also develop general tools for tropical Hodge theory to prove that the conormal fan satisfies Poincar'e duality, the hard Lefschetz theorem, and the Hodge-Riemann relations. The Lagrangian interpretation of the Chern-Schwartz-MacPherson cycle of M, when combined with the Hodge-Riemann relations for the conormal fan of M, implies Brylawski's and Dawson's conjectures that the h-vectors of the broken circuit complex and the independence complex of M are log-concave sequences. Full Article
1 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. Full Article
1 Differentiating through Log-Log Convex Programs. (arXiv:2004.12553v2 [math.OC] UPDATED) By arxiv.org Published On :: We show how to efficiently compute the derivative (when it exists) of the solution map of log-log convex programs (LLCPs). These are nonconvex, nonsmooth optimization problems with positive variables that become convex when the variables, objective functions, and constraint functions are replaced with their logs. We focus specifically on LLCPs generated by disciplined geometric programming, a grammar consisting of a set of atomic functions with known log-log curvature and a composition rule for combining them. We represent a parametrized LLCP as the composition of a smooth transformation of parameters, a convex optimization problem, and an exponential transformation of the convex optimization problem's solution. The derivative of this composition can be computed efficiently, using recently developed methods for differentiating through convex optimization problems. We implement our method in CVXPY, a Python-embedded modeling language and rewriting system for convex optimization. In just a few lines of code, a user can specify a parametrized LLCP, solve it, and evaluate the derivative or its adjoint at a vector. This makes it possible to conduct sensitivity analyses of solutions, given perturbations to the parameters, and to compute the gradient of a function of the solution with respect to the parameters. We use the adjoint of the derivative to implement differentiable log-log convex optimization layers in PyTorch and TensorFlow. Finally, we present applications to designing queuing systems and fitting structured prediction models. Full Article
1 Triangles in graphs without bipartite suspensions. (arXiv:2004.11930v2 [math.CO] UPDATED) By arxiv.org Published On :: Given graphs $T$ and $H$, the generalized Tur'an number ex$(n,T,H)$ is the maximum number of copies of $T$ in an $n$-vertex graph with no copies of $H$. Alon and Shikhelman, using a result of ErdH os, determined the asymptotics of ex$(n,K_3,H)$ when the chromatic number of $H$ is greater than 3 and proved several results when $H$ is bipartite. We consider this problem when $H$ has chromatic number 3. Even this special case for the following relatively simple 3-chromatic graphs appears to be challenging. The suspension $widehat H$ of a graph $H$ is the graph obtained from $H$ by adding a new vertex adjacent to all vertices of $H$. We give new upper and lower bounds on ex$(n,K_3,widehat{H})$ when $H$ is a path, even cycle, or complete bipartite graph. One of the main tools we use is the triangle removal lemma, but it is unclear if much stronger statements can be proved without using the removal lemma. Full Article