Exponential Decay of Correlations for Randomly Chosen Hyperbolic Toral Automorphisms

Details Exponential Decay of Correlations for Randomly Chosen Hyperbolic Toral Automorphisms Exponential Decay of Correlations for Randomly Chosen Hyperbolic Toral Automorphisms

2007-04-11

arxiv.org/abs/0704.1495v1

Chaos 17, 043116 (2007)

Mathematics

Dynamical Systems

15 pages, 1 figure

Scientific paper

10.1063/1.2785145

We consider pairs of toral automorphisms (A,B) satisfying an invariant cone
property. At each iteration, A acts with probability p and B with probability
1-p. We prove exponential decay of correlations for a class of Holder
continuous observables.

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