Exponential decay of correlations for randomly chosen hyperbolic toral automorphisms.
We consider pairs of toral automorphisms (A,B) satisfying an invariant cone property. At each iteration, A acts with probability p is in (0,1) and B with probability 1-p. We prove exponential decay of correlations for a class of Hölder continuous observables.
Ayyer
Arvind
A
Department of Physics, Rutgers University, 136 Frelinghuysen Road, Piscataway, New Jersey 08854, USA. ayyer@physics.rutgers.edu
Stenlund
Mikko
M
D000465:Algorithms; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D055585:Physical Phenomena; D010825:Physics; D011336:Probability; D013598:Systems Theory