Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Evgeny Verbitskiy"'
Publikováno v:
Studia Mathematica, 267(2), 201-239
In 1964 Lochs proved a theorem on the number of continued fraction digits of a real number $x$ that can be determined from just knowing its first $n$ decimal digits. In 2001 this result was generalised to a dynamical systems setting by Dajani and Fie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::809b88161caffac39f76653bdca2b511
https://hdl.handle.net/11370/777f9780-e0a4-40e3-b08b-cb5f3327e2a8
https://hdl.handle.net/11370/777f9780-e0a4-40e3-b08b-cb5f3327e2a8
Autor:
Evgeny Verbitskiy, Elizaveta Arzhakova
Publikováno v:
Arnold Mathematical Journal. 5:57-67
Motivated by some problems that originate in Statistical Physics and Algebraic Dynamics, we discuss a particular renormalization mechanism of multivariate Laurent polynomials which is called a decimation, and the corresponding tropical limiting shape
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8342e975c628a62ba14df66d46f90ce
https://doi.org/10.1007/s40598-019-00108-9
https://doi.org/10.1007/s40598-019-00108-9
Publikováno v:
Journal of Mathematical Analysis and Applications, 512(2):126163. ACADEMIC PRESS INC ELSEVIER SCIENCE
We continue the study of random continued fraction expansions, generated by random application of the Gauss and the Rényi backward continued fraction maps. We show that this random dynamical system admits a unique absolutely continuous invariant mea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19c4d39116eb45390a777e396f90e82c
https://doi.org/10.1016/j.jmaa.2022.126163
https://doi.org/10.1016/j.jmaa.2022.126163
Publikováno v:
Ergodic Theory and Dynamical Systems. 39:3224-3249
Thermodynamic formalism, the theory of equilibrium states, is studied both in dynamical systems and probability theory. Various closely related notions have been developed: e.g. Dobrushin–Lanford–Ruelle Gibbs, Bowen–Gibbs and $g$-measures. We d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c1f398f82d0a7a503c8acb00f40c29b
https://doi.org/10.1017/etds.2018.13
https://doi.org/10.1017/etds.2018.13
Autor:
Evgeny Verbitskiy, Tomoyuki Shirai
Publikováno v:
Indagationes mathematicae-New series, 27(5), 1162-1183. ELSEVIER SCIENCE BV
We consider two solvable models with equal entropy on the infinite ladder graph Z × { 1 , 2 } : the uniform spanning forest (USF), the abelian sandpile (ASM). We show that the symbolic models (abelian sandpile and spanning forest) are equal entropy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19ddaa805e04ee00985bc1ca75f8bddd
https://research.rug.nl/en/publications/7fe89800-6162-4efe-baa7-ce83d6efc76e
https://research.rug.nl/en/publications/7fe89800-6162-4efe-baa7-ce83d6efc76e
Publikováno v:
Monatshefte für Mathematik
This article contains a Wiener Lemma for the convolution algebra $\ell^1(\mathbb H,\mathbb C)$ and group $C^\ast$-algebra $C^\ast(\mathbb H)$ of the discrete Heisenberg group $\mathbb H$. At first, a short review of Wiener's Lemma in its classical fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::583494ca7fbf3a2c327c5c5cded28348
https://doi.org/10.1007/s00605-016-0894-0
https://doi.org/10.1007/s00605-016-0894-0
Publikováno v:
Nonlinearity, 30(3), 1182-1203
Nonlinearity, 30(3). IOP PUBLISHING LTD
Kalle, C, Kempton, T & Verbitskiy, E 2017, ' The random continued fraction transformation ', Nonlinearity, vol. 30, no. 3, pp. 1182-1203 . https://doi.org/10.1088/1361-6544/aa5243
Nonlinearity, 30(3). IOP PUBLISHING LTD
Kalle, C, Kempton, T & Verbitskiy, E 2017, ' The random continued fraction transformation ', Nonlinearity, vol. 30, no. 3, pp. 1182-1203 . https://doi.org/10.1088/1361-6544/aa5243
We introduce a random dynamical system related to continued fraction expansions. It uses random combination of the Gauss map and the R\'enyi (or backwards) continued fraction map. We explore the continued fraction expansions that this system produces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63215591f5dca9aa0e142eaa8df9aa30
http://hdl.handle.net/1887/58585
http://hdl.handle.net/1887/58585
Autor:
Robert S. Anderssen, Philip Broadbridge, Yasuhide Fukumoto, Kenji Kajiwara, Tsuyoshi Takagi, Evgeny Verbitskiy, Masato Wakayama
This book is a collection of papers presented at the conference “Forum Math-for-Industry 2014” for which the unifying theme was “Applications + Practical Conceptualization + Mathematics = fruitful Innovation” in October 2014. This epigram enc
Autor:
Evgeny Verbitskiy
Publikováno v:
Pacific Journal of Mathematics for Industry
Pacific Journal of Mathematics for Industry, 8(2), 2. SpringerOpen
Pacific journal of mathematics for industry, 8:2. SPRINGER
Pacific Journal of Mathematics for Industry, 8(2), 2. SpringerOpen
Pacific journal of mathematics for industry, 8:2. SPRINGER
We study a hidden Markov process which is the result of a transmission of the binary symmetric Markov source over the memoryless binary symmetric channel. This process has been studied extensively in Information Theory and is often used as a benchmar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c608b0ff3620dc6fe0597b7bf4d29430
https://doi.org/10.1186/s40736-015-0021-5
https://doi.org/10.1186/s40736-015-0021-5
Autor:
Martin Göll, Evgeny Verbitskiy
Publikováno v:
Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity ISBN: 9783319268828
The 1999 paper by D. Lind and K. Schmidt on homoclinic points of a special class of dynamical systems—the so called algebraic \({{\mathrm{\mathbb {Z}^d}}}\)-actions—attracted a lot of interest to the study of homoclinic points. In the present pap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::340eb00ddf8ac2ea83800520bcf0e52a
https://doi.org/10.1007/978-3-319-26883-5_4
https://doi.org/10.1007/978-3-319-26883-5_4