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math.DS2026
Stability for boundary actions of cocompact lattices in Euclidean buildings
Thang Nguyen, Theodore Weisman
When is a locally compact Euclidean building, the isometry group of acts by homeomorphisms on the space of -simplices in the visual boundary of . We consider perturba…
math.DS2023
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…
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…