Translator Disclaimer
November 2004 Almost sure invariance principle for dynamical systems with stretched exponential mixing rates
Naoki Nagayama
Hiroshima Math. J. 34(3): 371-411 (November 2004). DOI: 10.32917/hmj/1150998511

Abstract

We prove the almost sure invariance principle for a class of abstract dynamical systems including dynamical systems with stretched exponential mixing rates. The result can be applied to chaotic billiards and hyperbolic attractors with Markov sieves as well as expanding maps of the interval and Axiom A diffeomorphisms.

Citation

Download Citation

Naoki Nagayama. "Almost sure invariance principle for dynamical systems with stretched exponential mixing rates." Hiroshima Math. J. 34 (3) 371 - 411, November 2004. https://doi.org/10.32917/hmj/1150998511

Information

Published: November 2004
First available in Project Euclid: 22 June 2006

zbMATH: 1064.60050
MathSciNet: MR2120521
Digital Object Identifier: 10.32917/hmj/1150998511

Subjects:
Primary: 60F17
Secondary: 37A50, 37D45, 37D50, 60F15

Rights: Copyright © 2004 Hiroshima University, Mathematics Program

JOURNAL ARTICLE
41 PAGES


SHARE
Vol.34 • No. 3 • November 2004
Back to Top