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Nonlinear ????-term approximation of harmonic functions from shifts of the Newtonian kernel

Kamen G. Ivanov and Pencho Petrushev
Trans. Amer. Math. Soc. 373 (2020), 3117-3176.
Abstract, references and article information




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On the computational complexity of algebraic numbers: the Hartmanis–Stearns problem revisited

Boris Adamczewski, Julien Cassaigne and Marion Le Gonidec
Trans. Amer. Math. Soc. 373 (2020), 3085-3115.
Abstract, references and article information




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On the dimension of subspaces of continuous functions attaining their maximum finitely many times

L. Bernal-González, H. J. Cabana-Méndez, G. A. Muñoz-Fernández and J. B. Seoane-Sepúlveda
Trans. Amer. Math. Soc. 373 (2020), 3063-3083.
Abstract, references and article information




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Approximation of solutions of the wave equation driven by a stochastic measure

V. M. Radchenko and N. O. Stefans’ka
Theor. Probability and Math. Statist. 99 (2020), 229-238.
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Properties and distributions of values of fractal functions related to ????₂-representations of real numbers

M. V. Pratsiovytyi and S. P. Ratushniak
Theor. Probability and Math. Statist. 99 (2020), 211-228.
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Calculation of the convexity adjustment to the forward rate in the Vasicek model for the forward in-arrears contracts on LIBOR rate

N. O. Malykh and I. S. Postevoy
Theor. Probability and Math. Statist. 99 (2020), 189-198.
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Orthogonal regression method for observations from a mixture

R. E. Maĭboroda, G. V. Navara and O. V. Sugakova
Theor. Probability and Math. Statist. 99 (2020), 169-188.
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Asymptotic distribution of the maximum likelihood estimator in the fractional Vašíček model

S. S. Lohvinenko and K. V. Ralchenko
Theor. Probability and Math. Statist. 99 (2020), 149-168.
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Ehrenfest–Brillouin-type correlated continuous time random walk and fractional Jacobi diffusion

N. N. Leonenko, I. Papić, A. Sikorskii and N. Šuvak
Theor. Probability and Math. Statist. 99 (2020), 137-147.
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Goodness-of-fit test in the Cox proportional hazards model with measurement errors

A. G. Kukush and O. O. Chernova
Theor. Probability and Math. Statist. 99 (2020), 125-135.
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Construction of the Karhunen–Loève model for an input Gaussian process in a linear system by using the output process

Yu. V. Kozachenko and I. V. Rozora
Theor. Probability and Math. Statist. 99 (2020), 113-124.
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Estimation of the rate of convergence in the central limit theorem for a sequence of series in terms of averaged pseudomoments

M. M. Kapustei and P. V. Slyusarchuk
Theor. Probability and Math. Statist. 99 (2020), 101-111.
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On the lack of memory for distributions of overshoot functionals in the case of upper almost semicontinuous processes defined on a Markov chain

D. V. Gusak and E. V. Karnaukh
Theor. Probability and Math. Statist. 99 (2020), 77-89.
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Persistence and extinction in a stochastic nonautonomous logistic model of population dynamics

O. D. Borysenko and D. O. Borysenko
Theor. Probability and Math. Statist. 99 (2020), 67-75.
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Modified Euler scheme for the weak approximation of stochastic differential equations driven by the Wiener process

S. V. Bodnarchuk and O. M. Kulyk
Theor. Probability and Math. Statist. 99 (2020), 53-65.
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On the product of a singular Wishart matrix and a singular Gaussian vector in high dimension

T. Bodnar, S. Mazur, S. Muhinyuza and N. Parolya
Theor. Probability and Math. Statist. 99 (2020), 39-52.
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Solutions in Lebesgue spaces to nonlinear elliptic equations with subnatural growth terms

A. Seesanea and I. E. Verbitsky
St. Petersburg Math. J. 31 (2020), 557-572.
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Survey on gradient estimates for nonlinear elliptic equations in various function spaces

S.-S. Byun, D. K. Palagachev and L. G. Softova
St. Petersburg Math. J. 31 (2020), 401-419.
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Corrigendum to “The Łojasiewicz exponent of a continuous subanalytic function at an isolated zero”

Phạm Tiến Sơn
Proc. Amer. Math. Soc. 148 (2020), 2739-2741.
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Three-dimensional noncompact ????-solutions that are Type I forward and backward

Xiaodong Cao, Bennett Chow and Yongjia Zhang
Proc. Amer. Math. Soc. 148 (2020), 2595-2600.
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Discontinuous critical Fujita exponents for the heat equation with combined nonlinearities

Mohamed Jleli, Bessem Samet and Philippe Souplet
Proc. Amer. Math. Soc. 148 (2020), 2579-2593.
Abstract, references and article information




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Classical solution of a PDE system stemming from auxin transport model for leaf venation

Bin Li and Jieqiong Shen
Proc. Amer. Math. Soc. 148 (2020), 2565-2578.
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Refined scales of decaying rates of operator semigroups on Hilbert spaces: Typical behavior

Moacir Aloisio, Silas L. Carvalho and César R. de Oliveira
Proc. Amer. Math. Soc. 148 (2020), 2509-2523.
Abstract, references and article information







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The algebra of bounded-type holomorphic functions on the ball

Daniel Carando, Santiago Muro and Daniela M. Vieira
Proc. Amer. Math. Soc. 148 (2020), 2447-2457.
Abstract, references and article information





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May 1 procession prohibited

Police today announced its decision to prohibit two public meetings and object to a public procession intended to be held on Hong Kong Island on May 1.

 

Upon risk assessment, Police said it regarded that the public meetings and procession are high-risk activities with crowd gatherings.

 

Police have grounds to believe that such activities do not only increase the risk of infecting participants and other people with COVID-19, but pose a serious threat to the lives and health of all citizens, jeopardising public safety and affecting the rights of others.

 

Police emphasised that it believed it is necessary to prohibit the public meetings and object to the public procession in accordance with the Public Order Ordinance for maintaining public order and public safety as well as protecting the rights and freedom of others.

 

Police reminded the public that taking part in an unauthorised assembly is a criminal offence and those found guilty could be liable to five years’ imprisonment.




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LawTech Fund applications set

The Government today announced the establishment of a LawTech Fund to help law firms and barristers' chambers procure and upgrade information technology (IT) systems and arrange lawtech training courses for their staff.

 

In a statement, the Department of Justice said the LawTech Fund, established under the Anti-epidemic Fund, will be open for applications from April 28 and cater to small and medium-size law firms as well as barristers’ chambers.

 

Applications will be accepted for two months and those eligible can receive a reimbursement of up to $50,000.

 

The Law Society of Hong Kong and the Hong Kong Bar Association will establish a joint committee to assess the applications and arrange funding disbursement.

 

More than 60% of law firms and 50% of barristers' chambers in Hong Kong are expected to benefit from the funding.

 

As for funding eligibility, law firms or chambers must have five or fewer practising lawyers as at April 8 and at the time of granting the subsidy.

 

The subsidies must be used for procuring and upgrading IT systems, including but not confined to video-conferencing facilities. The lawtech training that is to receive the subsidy must be recognised and approved by the joint committee.

 

The application form and guidance notes are available at the homepages of the Law Society and the Bar Association.

 

The Secretary for Justice has given an outline of the fund and discussed lawtech in her blog.




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Immigration services to resume

The Immigration Department today announced that aside from its Smart Identity Card Replacement Centres (SIDCC) service and passenger immigration clearance service, it will resume full public services on May 4.

 

Due to the COVID-19 epidemic, the services of the nine SIDCCs had been suspended earlier.

 

Around 640,000 people could not replace their Hong Kong identity cards during their specified periods and about 90,000 people are waiting to collect their new identity cards.

 

To allow affected people to apply for and collect identity cards in an orderly manner, the SIDCCs will first provide identity card collection service and arrange applicants born in 1957 to 1961 who had made appointments before to have their cards replaced once the service resumes.

 

Other applicants are advised to make appointments to replace their identity cards if they have not done so before.

 

The department plans to revise designated replacement periods for identity card holders born in 1957 to 1963 and between 1970 and 1976.

 

Details will be announced later. For enquiries regarding identity cards, call 3521 6565.

 

Additionally, passenger immigration clearance services at immigration control points except for the Hong Kong International Airport, Shenzhen Bay and Hong Kong-Zhuhai-Macao Bridge Control Points will remain suspended until further notice.

 

Call 2824 6111 or send an email for enquiries.




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Lawbreaking violates rule of law

The violence and vandalism in recent months sparked a crisis of confidence of our rule of law. The so-called justice lawbreaking or civil disobedience is never justified under the law. I urge all of you not to engage in any illegal activities.

 

The Court of Final Appeal in its judgment (FACC8-10/2017) pointed out that: (1) unlawful assemblies involving violence, even a relatively low degree, will not be condoned and may justifiably attract sentences of immediate imprisonment in the future; and (2) little weight will be given to the mitigation that the offending act was committed in the exercise of constitutional rights or acts of civil disobedience because the fact of a conviction will necessarily mean the offender has crossed the line separating the lawful exercise of his constitutional rights from unlawful activity subject to sanctions and constraints.

 

There are suggestions that deliberate lawbreaking might be considered to achieve objectives, however, this would bring a wrong concept of the rule of law. The escalated violence and vandalism in the last few months have also undermined the perception of the rule of law among the public. My colleagues and I would promote and publicise the correct concept of the rule of law to the citizens through different channels. In analysing the current situation, I hope that we all could remain reasonable and objective by keeping an open mind, being informed and considering all relevant facts before coming to a conclusion.

 

Our rule of law has been highly regarded, and such an achievement was not easy to come by. We should all join hands to cherish and safeguard our rule of law. Abiding by the law is one of the many obligations that ought to be observed by the public. Law exists in practice but it should not only be practised by lawyers, judges and governments. More importantly, the rule of law should be observed and respected by the community as a whole. The Government would continue to be strongly committed to upholding the rule of law.

 

Secretary for Justice Teresa Cheng wrote this article and posted it on her blog on December 22.




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Restrictions on bars gazetted

The Government issued directions in the Gazette today to close bars and premises selling liquor for 14 days from 6pm on April 3.

 

The Secretary for Food & Health issued the directions in accordance with the Prevention & Control of Disease (Requirements & Directions) (Business & Premises) Regulation.

 

The directions include the closure of bars and pubs, as well as any part of a catering business premise or a clubhouse mainly used for the sale or supply of intoxicating liquors for consumption.

 

The new measures were introduced due to the emergence of 62 confirmed COVID-19 cases related to the bar and band cluster with further spread to an additional 14 cases who had not visited bars.

 

The Government on April 1 introduced directions on the closure of karaoke, mahjong-tin kau and nightclub establishments as well as the suspension of karaoke and mahjong-tin kau activities in catering premises and clubhouses.

 

It has also been reviewing the feasibility of relevant measures and will make timely adjustments according to the latest developments of the disease.