Stable mixing for cat maps and quasi-morphisms of the modular group

Leonid Polterovich*, Zeev Rudnick

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

It is well known that the action of a hyperbolic element ('cat map') of the modular group on the 2-torus has strong chaotic dynamical properties such as mixing and exponential decay of correlations. In this note we study stability of this behaviour with respect to kicks. Our approach is based on geometric group theory, and in particular on a new result on quasi-morphisms of the modular group.

Original languageEnglish
Pages (from-to)609-619
Number of pages11
JournalErgodic Theory and Dynamical Systems
Volume24
Issue number2
DOIs
StatePublished - Apr 2004

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