Exponential decay of correlations for randomly chosen hyperbolic toral automorphisms

Ayyer, Arvind ; Stenlund, Mikko (2007) Exponential decay of correlations for randomly chosen hyperbolic toral automorphisms Chaos: An Interdisciplinary Journal of Nonlinear Science, 17 (4). ISSN 1054-1500

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Official URL: https://doi.org/10.1063/1.2785145

Related URL: http://dx.doi.org/10.1063/1.2785145

Abstract

We consider pairs of toral automorphisms (A, B)satisfying an invariant cone property. At each iteration, A acts with probability p ε (0,1) and B with probability 1-p. We prove exponential decay of correlations for a class of Hölder continuous observables.

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Deposited On:11 Dec 2025 07:05
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