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math.DS2000★ 1 cited
Stable mixing for cat maps and quasi-morphisms of the modular group
Leonid Polterovich, Zeev Rudnick
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 de…
math.DS2000★ 11 cited
Kick stability in groups and dynamical systems
Leonid Polterovich, Zeev Rudnick
We consider a general construction of ``kicked systems''. Let G be a group of measure preserving transformations of a probability space. Given its one-parameter/cyclic subgroup (th…