10 citations · 28 across the 23 of their papers we have counts for
4 papers · 1 filter
Smooth Factors of Projective Actions of Higher Rank Lattices and Rigidity
Alexander Gorodnik, Ralf Spatzier
We study smooth factors of the standard actions of lattices in higher rank semisimple Lie groups on flag manifolds. Under a mild condition on existence of a single differentiable s…
Exponential Mixing and Smooth Classification of Commuting Expanding Maps
Ralf Spatzier, Lei Yang
We show that genuinely higher rank expanding actions of abelian semi-groups on compact manifolds are -conjugate to affine actions on infra-nilmanifolds. This is based o…
On the work of Rodriguez Hertz on rigidity in dynamics
Ralf Spatzier
This paper is a survey about recent progress in measure rigidity and global rigidity of Anosov actions, and celebrates the profound contributions by Federico Rodriguez Hertz to rig…
Character varieties and actions on products of trees
David Fisher, Michael Larsen, Ralf Spatzier +1
It is well known that surface groups admit free and proper actions on finite products of infinite valence trees. In this note, we address the question of whether there can be a fre…