关于曲面群的类Bowen级数映射族

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED Regular and Chaotic Dynamics Pub Date : 2023-10-20 DOI:10.1134/S1560354723040093

Lluís Alsedà, David Juher, Jérôme Los, Francesc Mañosas

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引用次数: 0

摘要

我们回顾了一类映射的一些最新结果，称为Bowen–类级数映射，它是从一类表面群的群表示中获得的。这些映射是具有有限多个不连续性的圆的分段同胚。讨论了类中每个映射的拓扑熵及其与群表示的增长函数的关系，以及这些不变量的计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Families of Bowen – Series-Like Maps for Surface Groups

We review some recent results on a class of maps, called Bowen – Series-like maps, obtained from a class of group presentations for surface groups. These maps are piecewise homeomorphisms of the circle with finitely many discontinuities. The topological entropy of each map in the class and its relationship with the growth function of the group presentation is discussed, as well as the computation of these invariants.

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来源期刊

Regular and Chaotic Dynamics 物理-力学

CiteScore

2.50

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Regular and Chaotic Dynamics (RCD) is an international journal publishing original research papers in dynamical systems theory and its applications. Rooted in the Moscow school of mathematics and mechanics, the journal successfully combines classical problems, modern mathematical techniques and breakthroughs in the field. Regular and Chaotic Dynamics welcomes papers that establish original results, characterized by rigorous mathematical settings and proofs, and that also address practical problems. In addition to research papers, the journal publishes review articles, historical and polemical essays, and translations of works by influential scientists of past centuries, previously unavailable in English. Along with regular issues, RCD also publishes special issues devoted to particular topics and events in the world of dynamical systems.