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pro vyhledávání: '"Gorodetski, A."'
We prove Central Limit Theorem for non-stationary random products of $SL(2, \mathbb{R})$ matrices, generalizing the classical results by Le Page and Tutubalin that were obtained in the case of iid random matrix products.
Comment: 25 pages
Comment: 25 pages
Externí odkaz:
http://arxiv.org/abs/2411.12003
Autor:
Gorodetski, Anton, Kleptsyn, Victor
We consider one-parameter families of smooth circle cocycles over an ergodic transformation in the base, and show that their rotation numbers must be log-H\"older regular with respect to the parameter. As an immediate application, we get a dynamical
Externí odkaz:
http://arxiv.org/abs/2410.15462
Autor:
Gorodetski, Anton, Kleptsyn, Victor
We consider discrete Schr\"odinger operators on $\ell^2(\mathbb{Z})$ with bounded random but not necessarily identically distributed values of the potential. We prove spectral localization (with exponentially decaying eigenfunctions) as well as dynam
Externí odkaz:
http://arxiv.org/abs/2403.15970
Akademický článek
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Publikováno v:
Lett. Math. Phys. 114 (2024) 101:1-12
The aim of this note is to show the existence of a large family of Cantorvals arising in the projection description of primitive two-letter substitutions. This provides a common and naturally occurring class of Cantorvals.
Comment: 11 pages, 3 f
Comment: 11 pages, 3 f
Externí odkaz:
http://arxiv.org/abs/2401.05372
Autor:
Diament, Alon, Gorodetski, Maria, Jankelow, Adam, Keshet, Ayya, Shor, Tal, Weissglas-Volkov, Daphna, Rossman, Hagai, Segal, Eran
This study introduces a novel, rich dataset obtained from home sleep apnea tests using the FDA-approved WatchPAT-300 device, collected from 7,077 participants over 21,412 nights. The dataset comprises three levels of sleep data: raw multi-channel tim
Externí odkaz:
http://arxiv.org/abs/2311.08979
Autor:
Gorodetski, Anton, Kleptsyn, Victor
We prove a version of pointwise Ergodic Theorem for non-stationary random dynamical systems. Also, we discuss two specific examples where the result is applicable: non-stationary iterated function systems and non-stationary random matrix products.
Externí odkaz:
http://arxiv.org/abs/2305.05028
Autor:
Buzzi, Jérôme, Chandgotia, Nishant, Foreman, Matthew, Gao, Su, García-Ramos, Felipe, Gorodetski, Anton, Maitre, François Le, Rodríguez-Hertz, Federico, Sabok, Marcin
This file is composed of questions that emerged or were of interest during the workshop "Interactions between Descriptive Set Theory and Smooth Dynamics" that took place in Banff, Canada on 2022.
Externí odkaz:
http://arxiv.org/abs/2305.00248
Autor:
Moiseeva, Anna
Publikováno v:
Филолошки студии / Philological Studies. 10(1):171-175
Externí odkaz:
https://www.ceeol.com/search/article-detail?id=158538
We consider Schr\"odinger operators in $\ell^2(\mathbb{Z})$ whose potentials are given by the sum of an ergodic term and a random term of Anderson type. Under the assumption that the ergodic term is generated by a homeomorphism of a connected compact
Externí odkaz:
http://arxiv.org/abs/2211.02173