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math.DS2021
Exponential mixing, KAM and smooth local rigidity
Ralf Spatzier, Lei Yang
Consider actions of by ergodic automorphisms on a compact nilmanifolds for . We show that small perturbations of such higher rank partially hyperbolic actio…
math.DS2021
Carnot metrics, Dynamics and Local Rigidity
Chris Connell, Thang Nguyen, Ralf Spatzier
This paper develops new techniques for studying smooth dynamical systems in the presence of a \CC metric. Principally, we employ the theory of Margulis-Mostow, Métivier, Mitchell a…