Exponential decay of correlations for randomly chosen hyperbolic toral automorphisms

Arvind Ayyer; Mikko Stenlund

doi:10.1063/1.2785145

Exponential decay of correlations for randomly chosen hyperbolic toral automorphisms

Chaos. 2007 Dec;17(4):043116. doi: 10.1063/1.2785145.

Authors

Arvind Ayyer¹, Mikko Stenlund

Affiliation

¹ Department of Physics, Rutgers University, 136 Frelinghuysen Road, Piscataway, New Jersey 08854, USA. ayyer@physics.rutgers.edu

PMID: 18163780
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 is in (0,1) and B with probability 1-p. We prove exponential decay of correlations for a class of Hölder continuous observables.

Publication types

Research Support, Non-U.S. Gov't
Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

Algorithms
Models, Statistical*
Models, Theoretical
Nonlinear Dynamics
Physical Phenomena
Physics
Probability
Systems Theory*