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

DOI10.1017/S0143385703000531zbMath1071.37019arXivmath/0009143OpenAlexW2012937571WikidataQ30050150 ScholiaQ30050150MaRDI QIDQ4663963

Leonid Polterovich, Ze'ev Rudnick

Publication date: 5 April 2005

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0009143

zbMATH Keywords

\mathbb Z)\)exponential decay of correlations for kicked systemshyperbolic two-torus automorphismsquasi-morphisms for SL\((2stable mixing

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Stability theory for smooth dynamical systems (37C75)

Related Items

Failure of separation by quasi-homomorphisms in mapping class groups ⋮ Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture ⋮ THE CANCELLATION NORM AND THE GEOMETRY OF BI-INVARIANT WORD METRICS ⋮ Stable commutator length on mapping class groups ⋮ Bounded cohomology and isometry groups of hyperbolic spaces ⋮ The membership problem for subsemigroups of \(\operatorname{GL}_2(\mathbb{Z})\) is \textbf{NP}-complete ⋮ Matrix Semigroup Freeness Problems in SL $$(2,\mathbb {Z})$$ ⋮ Vector Ambiguity and Freeness Problems in SL $$(2,\mathbb {Z})$$ ⋮ Vector and scalar reachability problems in \(\operatorname{SL}(2, \mathbb{Z})\) ⋮ Continuity conditions for finite-dimensional locally bounded representations of connected locally compact groups ⋮ Spiraling spectra of geodesic lines in negatively curved manifolds ⋮ On the entropy norm on the group of diffeomorphisms of closed oriented surface ⋮ Local correlations in coupled cat maps with space-time duality