On multiple recurrence and other properties of ‘nice’ infinite measure-preserving transformations-Reference-Cited by-同舟云学术

On multiple recurrence and other properties of ‘nice’ infinite measure-preserving transformations

Published:2016-02-12 Issue:5 Volume:37 Page:1345-1368
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

AARONSON JON,NAKADA HITOSHI

Abstract

We discuss multiple versions of rational ergodicity and rational weak mixing for ‘nice’ transformations, including Markov shifts, certain interval maps and hyperbolic geodesic flows. These properties entail multiple recurrence.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference24 articles.

1. [18] F. Paulin , M. Pollicott and B. Schapira . Equilibrium states in negative curvature. Preprint, 2012, arXiv:1211.6242.

2. Checking ergodicity of some geodesic flows with infinite Gibbs measure

3. A short proof of ergodicity of Babillot-Ledrappier measures

4. Ergodic theory and the geodesic flow on surfaces of constant negative curvature

5. LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Infinite measure mixing for some mechanical systems;Advances in Mathematics;2022-12

2. Tied-down occupation times of infinite ergodic transformations;Israel Journal of Mathematics;2022-12

3. Asymptotic expansion of correlation functions for Zd covers of hyperbolic flows;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2022-05-01

4. Local limit theorems for suspended semiflows;Discrete & Continuous Dynamical Systems - A;2020

5. Infinite measure renewal theorem and related results;Bulletin of the London Mathematical Society;2018-11-09