Arvind Ayyer, Mikko Stenlund
Exponential Decay of Correlations for Randomly Chosen Hyperbolic Toral Automorphisms
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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.