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math.DS2002
A growth gap for diffeomorphisms of the interval
Leonid Polterovich, Mikhail Sodin
Given an orientation-preserving diffeomorphism of the interval [0;1], consider the uniform norm of the differential of its n-th iteration. We get a function of n called the growth…
math.DS2001
Diffeomorphisms with an anomalous growth of the differential
Leonid Polterovich, Mikhail Sodin
The paper is withdrawn.
math.DS2000
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…