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Exponential Decay of Correlations for Randomly Chosen Hyperbolic Toral Automorphisms

arXiv:0704.1495 · doi: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 and B with probability 1-p. We prove exponential decay of correlations for a class of Holder continuous observables.

15 pages, 1 figure