10 citations · 28 across the 23 of their papers we have counts for
27 papers
On the work of Zhiren Wang on rigidity in dynamics
Ralf Spatzier
In honor of Zhiren Wang on the occasion of being awarded the Brin Prize, we report on his exciting and deep work on rigidity of higher rank abelian groups and lattices in higher ra…
Rigidity of compact rank one symmetric spaces
Chris Connell, Mitul Islam, Thang Nguyen +1
We consider rigidity properties of compact symmetric spaces with metric of rank one. Suppose is another Riemannian metric on with sectional curvature bounded…
Boundary actions of lattices and local semi-rigidity
Chris Connell, Mitul Islam, Thang Nguyen +1
We consider actions of cocompact lattices in semisimple Lie groups of the noncompact type on their boundaries , a parabolic group, the so-called standard actions. We show…
The Zimmer Program for partially hyperbolic actions
Danijela Damjanovic, Ralf Spatzier, Kurt Vinhage +1
Zimmer's superrigidity theorems on higher rank Lie groups and their lattices launched a program of study aiming to classify actions of semisimple Lie groups and their lattices, kno…
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…
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…