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arXiv · 0704.1495

Exponential Decay of Correlations for Randomly Chosen Hyperbolic Toral Automorphisms

Arvind Ayyer·Mikko Stenlund
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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.

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Arvind Ayyer, Mikko Stenlund. 2007-04-11. Exponential Decay of Correlations for Randomly Chosen Hyperbolic Toral Automorphisms. https://doi.org/10.1063/1.2785145

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