Zobrazeno 1 - 10 of 39 pro vyhledávání: '"Svetlana Katok"'
1
On the topological entropy of (a,b)-continued fraction transformations
Autor: Adam Abrams, Svetlana Katok, Ilie Ugarcovici
We study the topological entropy of a two-parameter family of maps related to (a,b)-continued fraction algorithms and prove that it is constant on a square within the parameter space (two vertices of this square correspond to well-studied continued f
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7cbc986a4fd694340bb7a49e1fe9af8b
http://arxiv.org/abs/2210.07389
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2
Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups
Autor: Adam Abrams, Ilie Ugarcovici, Svetlana Katok
Publikováno v: Ergodic Theory and Dynamical Systems. 42:389-401
Given a closed, oriented, compact surface $S$ of constant negative curvature and genus $g \ge 2$, we study the measure-theoretic entropy of the Bowen-Series boundary map with respect to its smooth invariant measure. We obtain an explicit formula for
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a58f43867c69943af609bac914c7cae
https://doi.org/10.1017/etds.2021.14
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3
Rigidity and flexibility of entropies of boundary maps associated to Fuchsian groups
Autor: Adam Abrams, Svetlana Katok, Ilie Ugarcovici
Given a closed, orientable surface of constant negative curvature and genus $g \ge 2$, we study the topological entropy and measure-theoretic entropy (with respect to a smooth invariant measure) of generalized Bowen--Series boundary maps. Each such m
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a978de7ff05a1fa73d2b4f95958238f
http://arxiv.org/abs/2106.13779
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8
Correction to: Structure of attractors for boundary maps associated to Fuchsian groups
Autor: Svetlana Katok, Ilie Ugarcovici
Publikováno v: Geometriae Dedicata. 198:189-191
The paper [2] studies the dynamics of a class of circle maps and their two-dimensional natural extensions built using the generators of a given cocompact and torsion-free Fuchsian group Γ.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::83f6dfb7b1f74786fc91305d8624212f
https://doi.org/10.1007/s10711-018-0336-3
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10
Structure of attractors for boundary maps associated to Fuchsian groups
Autor: Ilie Ugarcovici, Svetlana Katok
We study dynamical properties of generalized Bowen-Series boundary maps associated to cocompact torsion-free Fuchsian groups. These maps are defined on the unit circle (the boundary of the Poincar\'e disk) by the generators of the group and have a fi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f73e3583a0c8be7c3d2d171d38dd4f6
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