• Decay of correlations and mixi...

Result: Decay of correlations and mixing properties in a dynamical system with zero K–S entropy: Decay of correlations and mixing properties in a dynamical system with zero \(K-S\) entropy

Title:
Decay of correlations and mixing properties in a dynamical system with zero K–S entropy: Decay of correlations and mixing properties in a dynamical system with zero \(K-S\) entropy
Authors:
D. Hamdan, M. Courbage
Source:
Ergodic Theory and Dynamical Systems. 17:87-103
Publisher Information:
Cambridge University Press (CUP), 1997.
Publication Year:
1997
Subject Terms:
skew product, correlation decay rate, Dynamical systems with hyperbolic behavior, rate of mixing, 0103 physical sciences, Ergodic theory, 0101 mathematics, 01 natural sciences
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
1469-4417
0143-3857
DOI:
10.1017/s0143385797061051
Access URL:
https://zbmath.org/1002038
https://doi.org/10.1017/s0143385797061051
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/decay-of-correlations-and-mixing-properties-in-a-dynamical-system-with-zero-ks-entropy/04BDD21F2F0315B189F4C08FFFAA2E5E
Rights:
Cambridge Core User Agreement
Accession Number:
edsair.doi.dedup.....a4636c83ab936db26cdecf9d621566dc
Database:
OpenAIRE

Further Information

We consider the ergodic skew product of translations on the torus ${\Bbb T}^{2}$. We characterize a class of smooth functions with exponential correlation decay rate and a class of subsets with an exponential rate of mixing. We show that the class of functions with sub-exponential correlation decay rate is generic. We also characterize another class of subsets with mixing rate of the order of $1/t$.