108 citations · 814 across the 70 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2024
On quantum ergodicity for higher dimensional cat maps
Pär Kurlberg, Alina Ostafe, Zeev Rudnick +1
We study eigenfunction localization for higher dimensional cat maps, a popular model of quantum chaos. These maps are given by linear symplectic maps in ${\mathrm{Sp}}(2g,\mathbb Z…
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…