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Когомологические уравнения для специальных потоков над преобразованиями Вершика
Moscow Mathematical Journal. 2016. Vol. 16. No. 2. P. 381-391.
Zubov D.
In this paper we give sufficient conditions for existence of bounded solution of cohomological equation for suspension flows over automorphisms of Markov compacta . These conditions are described in terms of finitely-additive measures, which were introduced in works of Bufetov. The result of this paper can be regarded as a symbolic analogue of results due to Forni and Marmi-Moussa-Yoccoz for translation flows and interval exchange transformations
Keywords: interval exchange transformationsinvariant finitely-additive measuresинвариантные конечно-аддитивные мерыперекладывания отрезковVershik automorphismsrate of convergence in the ergodic theoremпреобразования Вершикаскорость сходимости в эргодической теоремеcohomological equationsкогомологическое уравнение
Publication based on the results of:
Zubov D., / Cornell University. Series math "arxiv.org". 2015.
In this paper we give sufficient conditions for existence of bounded solution of cohomological equation for suspension flows over automorphisms of Markov compacta . These conditions are described in terms of finitely-additive measures, which were introduced in works of Bufetov. The result of this paper can be regarded as a symbolic analogue of results due to ...
Added: November 23, 2015
А.И. Буфетов, Успехи математических наук 2013 Т. 68 № 5(413) С. 3-80
In this paper an asymptotic expansion of ergodic integrals for suspension flows over Vershik automorphisms is obtained and a limit theorem for these flows is given.
Bibliography: 49 titles. ...
Added: October 23, 2014
Bufetov A. I., Annals of Mathematics 2014 Vol. 179 No. 2 P. 431-499
The aim of this paper is to obtain an asymptotic expansion for ergodic integrals of translation ows on at surfaces of higher genus (Theorem 1) and to give a limit theorem for these ows (Theorem 2). © 2014 Department of Mathematics, Princeton University. ...
Added: February 19, 2014
Klimenko A. V., Moscow Mathematical Journal 2019 Vol. 19 No. 2 P. 343-356
We prove a spatial limit theorem for generic interval exchange transformations (IETs): for a generic IET the normalized ergodic sums of a sufficiently regular (e.g., Lipschitz) function have the same asymptotic behaviour of distributions as the behaviour of ergodic integrals for a generic translation flow on a flat surface, described by A. Bufetov. ...
Added: March 12, 2019
Avila A., Hubert P., Skripchenko A., Inventiones Mathematicae 2016 Vol. 206 No. 1 P. 109-146
We study chaotic plane sections of some particular family of triply periodic surfaces. The question about possible behavior of such sections was posed by S. P. Novikov. We prove some estimations on the diffusion rate of these sections using the connection between Novikov’s problem and systems of isometries—some natural generalization of interval exchange transformations. Using ...
Added: November 9, 2016
Lanneau E., Marmi S., Skripchenko A., Dynamical Systems 2021 P. 1-13
In the current note we extend results by Marmi, Moussa and Yoccoz about cohomological equations for interval exchange transformations to irreducible linear involutions. ...
Added: March 5, 2021
Skripchenko A., Discrete and Continuous Dynamical Systems 2012 Vol. 32 No. 2 P. 643-656
In the present paper we study symmetric interval identification systems of order three. We prove that the Rauzy induction preserves symmetry: for any symmetric interval identification system of order 3 after finitely many iterations of the Rauzy induction we always obtain a symmetric system. We also provide an example of symmetric interval identification system of ...
Added: March 3, 2014
Safonov K., Малкин М. И., Journal of Physics: Conference Series 2018 Vol. 990 P. 012007
For onedimensional piecewise monotone discontionuous maps without periodic points, the 1-conformal measures are constructed and, as a corollary, semiconjugacy to piecewise linear models of constant (in absolute value) slope is obtained. It turns out that for generalized interval exchange transformations, the constructed semiconjugacy is, in fact, conjugacy . ...
Added: October 31, 2020
Veretennikov A., Анулова С. В., Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика) 2015 Т. 460 № 4 С. 377-380
Установлены условия экспоненциальной скорости сходимости к стационарному режиму многомерных вырожденных стохастических систем с переключениями. ...
Added: October 11, 2015
Skripchenko A., Успехи математических наук 2023 Т. 78 № 6(474) С. 3-46
Research on dynamical and topological properties of interval exchange transformations and their natural generalizations is an important problem that belongs to the intersection of the several branches of mathematics: dynamical systems, low-dimensional topology, algebraic geometry, number theory and geometric group theory. The goal of the current survey is to make a systematic presentation of the ...
Added: December 28, 2023
Veretennikov A., Veretennikova M., Doklady Mathematics 2020 Vol. 101 No. 1 P. 12-15
Изучаются улучшенные оценки скорости сходимости для эргодических однородных цепей Маркова. Даны примеры сравнения с классическими оценками. ...
Added: October 29, 2019
Skripchenko A., Dynnikov I., Journal of Modern Dynamics 2017 Vol. 11 P. 219-248
It is known since a 40-year-old paper by M.Keane that minimality is a generic (i.e., holding with probability one) property of an irreducible interval exchange transformation. If one puts some integral linear restrictions on the parameters of the interval exchange transformation, then minimality may become an "exotic" property. We conjecture in this paper that this ...
Added: April 20, 2018
Veretennikov A., Zverkina G., / Institute for Control Problems, Moscow. Series Abstracts of communications, "DISTRIBUTED COMPUTER AND COMMUNICATION NETWORKS (DCCN-2015):'' CONTROL, COMPUTATION, COMMUNICATIONS "DCCN 2015". 2015.
A computable estimate of the readiness coefficient to its stationary value for a standard binary-state system is established in the case where working time and repair time distributions have heavy tails. ...
Added: October 15, 2015
Kotelnikova M. V., Aistov A., Вестник Нижегородского университета им. Н.И. Лобачевского. Серия: Социальные науки 2019 Т. 55 № 3 С. 183-189
The article describes a method that allows to improve the content of disciplines of the mathematical cycle by dividing them into invariant (general) and variable parts. The invariants were identified for such disciplines as «Linear algebra», «Mathematical analysis», «Probability theory and mathematical statistics» delivered to Bachelors program students of economics at several universities. Based on ...
Added: January 28, 2020
Borzykh D., ЛЕНАНД, 2021
Книга представляет собой экспресс-курс по теории вероятностей в контексте начального курса эконометрики. В курсе в максимально доступной форме изложен тот минимум, который необходим для осознанного изучения начального курса эконометрики. Данная книга может не только помочь ликвидировать пробелы в знаниях по теории вероятностей, но и позволить в первом приближении выучить предмет «с нуля». При этом, благодаря доступности изложения и небольшому объему книги, ...
Added: February 20, 2021
В. Л. Попов, Математические заметки 2017 Т. 102 № 1 С. 72-80
Мы доказываем, что аффинно-треугольные подгруппы являются борелевскими подгруппами групп Кремоны. ...
Added: May 3, 2017
Красноярск : ИВМ СО РАН, 2013
Труды Пятой Международной конференции «Системный анализ и информационные технологии» САИТ-2013 (19–25 сентября 2013 г., г.Красноярск, Россия): ...
Added: November 18, 2013
Grines V., Gurevich E., Pochinka O., Russian Mathematical Surveys 2017 Vol. 71 No. 6 P. 1146-1148
In the paper a Palis problem on finding sufficient conditions on embedding of Morse-Smale diffeomorphisms in topological flow is discussed. ...
Added: May 17, 2017
Okounkov A., Aganagic M., Moscow Mathematical Journal 2017 Vol. 17 No. 4 P. 565-600
We associate an explicit equivalent descendent insertion to any relative insertion in quantum K-theory of Nakajima varieties.
This also serves as an explicit formula for off-shell Bethe eigenfunctions for general quantum loop algebras associated to quivers and gives the general integral solution to the corresponding quantum Knizhnik Zamolodchikov and dynamical q-difference equations. ...
Added: October 25, 2018
Danilov B.R., Moscow University Computational Mathematics and Cybernetics 2013 Vol. 37 No. 4 P. 180-188
The article investigates a model of delays in a network of functional elements (a gate network) in an arbitrary finite complete basis B, where basis elements delays are arbitrary positive real numbers that are specified for each input and each set of boolean variables supplied on the other inputs. Asymptotic bounds of the form τ ...
Added: December 2, 2019
Beklemishev L. D., Оноприенко А. А., Математический сборник 2015 Т. 206 № 9 С. 3-20
We formulate some term rewriting systems in which the number of computation steps is finite for each output, but this number cannot be bounded by a provably total computable function in Peano arithmetic PA. Thus, the termination of such systems is unprovable in PA. These systems are derived from an independent combinatorial result known as the Worm ...
Added: March 13, 2016
Levashov M., Кухаренко А. В., Вопросы защиты информации 2018 № 2 С. 66-71
Рассматривается статистическая модель одного этапа системы фрод-мониторинга транзакций в интернет-банкинге. Построен и рассчитан близкий к отношению правдоподобия критерий отсева мошеннических транзакций. Для выборочных распределений, полученных на выборке объема в 1 млн реальных транзакций, вычислены параметры эффективности этого критерия. ...
Added: June 14, 2018
Min Namkung, Younghun K., Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18
Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum
states when N receivers are separately located. In this report, we propose optical designs that can
perform sequential state discrimination of two coherent states. For this purpose, we consider not
only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior
probabilities. Since ...
Added: November 16, 2020
Amerik E., Verbitsky M., / Cornell University. Series arXiv "math". 2021.
An MBM locus on a hyperkahler manifold is the union of all deformations of a minimal rational curve with negative self-intersection. MBM loci can be equivalently defined as centers of bimeromorphic contractions. It was shown that the MBM loci on deformation equivalent hyperkahler manifolds are diffeomorphic. We determine the MBM loci on a hyperkahler manifold ...
Added: April 7, 2022