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

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dc.creatorPolterovich, Leonid
dc.creatorRudnick, Zeev
dc.date2000-09-14
dc.date2003-07-14
dc.date.accessioned2026-07-07T04:37:24Z
dc.date.available2026-07-07T04:37:24Z
dc.descriptionIt 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 quasimorphisms of the modular group.
dc.descriptionFinal version, accepted for publication in Ergodic Theory & Dynamical Systems
dc.identifierhttps://arxiv.org/abs/math/0009143
dc.identifierhttp://arxiv.org/abs/math/0009143
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59935
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subjectGroup Theory
dc.subjectNumber Theory
dc.subject(2000) 37Axx (Primary) 11F06, 20F69 (Secondary)
dc.titleStable mixing for cat maps and quasi-morphisms of the modular group
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