5 citations · 6 across the 2 of their papers we have counts for
3 papers
math.DS2019
Pathology and asymmetry: centralizer rigidity for partially hyperbolic diffeomorphisms
Danijela Damjanovic, Amie Wilkinson, Disheng Xu
We discover a rigidity phenomenon within the volume-preserving partially hyperbolic diffeomorphisms with -dimensional center. In particular, for smooth, ergodic perturbations of…
math.DS2017★ 5 cited
On conservative partially hyperbolic abelian actions with compact center foliation
Danijela Damjanovic, Disheng Xu
We consider smooth partially hyperbolic volume preserving Z^k actions on smooth manifolds, with uniformly compact center foliation. We show that under certain irreducibility condit…
math.DS2017★ 1 cited
Diffeomorphism group valued cocycles over higher rank abelian Anosov actions
Danijela Damjanovic, Disheng Xu
We prove that every smooth diffeomorphism group valued cocycle over certain abelian Anosov actions on tori (and more generally on infranilmanifolds), is a smooth coboundary on a fi…