108 citations · 814 across the 70 of their papers we have counts for
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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…
math.NT2000★ 108 cited
The distribution of spacings between the fractional parts of
Zeev Rudnick, Peter Sarnak, Alexandru Zaharescu
We study the distribution of normalized spacings between the fractional parts of an^2, n=1,2,.... We conjecture that if a is "badly approximable" by rationals, then the sequence of…