Equilibrium states for non-uniformly expanding skew products

被引：0

作者：

Hemenway, Gregory ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43232 USA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2024年 / 44卷 / 09期

基金：

美国国家科学基金会;

关键词：

equilibrium states; RPF transfer operator; non-uniformly expanding; skew products;

D O I：

10.1017/etds.2023.111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study equilibrium states for a class of non-uniformly expanding skew products, and show how a family of fiberwise transfer operators can be used to define the conditional measures along fibers of the product. We prove that the pushforward of the equilibrium state onto the base of the product is itself an equilibrium state for a Holder potential defined via these fiberwise transfer operators.

引用

页码：2599 / 2620

页数：22

共 50 条

[31] The coding of non-uniformly expanding maps with application to endomorphisms of CPk
Buzzi, J
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2003, 23 : 1015 - 1024
[32] Repellers for non-uniformly expanding maps with singular or critical points
Gelfert, Katrin
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2010, 41 (02): : 237 - 257
[33] Almost sure mixing rates for non-uniformly expanding maps
Li, Xin
Vilarinho, Helder
STOCHASTICS AND DYNAMICS, 2018, 18 (04)
[34] Yet another induction scheme for non-uniformly expanding transformations
Capett-Figueras, Pedro L.
Sanchez-Salas, Fernando J.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 466 (01) : 281 - 306
[35] Repellers for non-uniformly expanding maps with singular or critical points
Katrin Gelfert
Bulletin of the Brazilian Mathematical Society, New Series, 2010, 41 : 237 - 257
[36] EXTREME VALUE THEORY FOR NON-UNIFORMLY EXPANDING DYNAMICAL SYSTEMS
Holland, Mark
Nicol, Matthew
Toeroek, Andrei
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (02) : 661 - 688
[37] On the invariance principle for non-uniformly expanding transformations of [0, 1]
Campanino, M
Isola, S
FORUM MATHEMATICUM, 1996, 8 (04) : 475 - 484
[38] Topological invariance of generic non-uniformly expanding multimodal maps
Luzzatto, Stefano
Wang, Lanyu
MATHEMATICAL RESEARCH LETTERS, 2006, 13 (2-3) : 343 - 357
[39] Absolutely continuous invariant measures for non-uniformly expanding maps
Hu, Huyi
Vaienti, Sandro
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2009, 29 : 1185 - 1215
[40] Ergodicity of non-uniformly expanding transitive group (or semigroup) actions
Rashid, A. A.
Bahabadi, A. Zamani
JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (05)

← 1 2 3 4 5 →