22 citations · 74 across the 18 of their papers we have counts for
25 papers · 1 filter
Rigidity of strong and weak foliations
Boris Kalinin, Victoria Sadovskaya
We consider a perturbation of a hyperbolic toral automorphism . We study rigidity related to exceptional properties of the strong and weak stable foliations for . If the…
Global smooth rigidity for toral automorphisms
Boris Kalinin, Victoria Sadovskaya, Zhenqi Wang
We study regularity of a conjugacy between a hyperbolic or partially hyperbolic toral automorphism and a diffeomorphism of the torus. For a very weakly irreducib…
On regularity of conjugacy between linear cocycles over partially hyperbolic systems
Boris Kalinin, Victoria Sadovskaya
We consider Hölder continuous -valued cocycles, and more generally linear cocycles, over an accessible volume-preserving center-bunched partially hyperbolic diffeo…
Local rigidity for hyperbolic toral automorphisms
Boris Kalinin, Victoria Sadovskaya, Zhenqi Jenny Wang
We consider a hyperbolic toral automorphism and its -small perturbation . It is well-known that is Anosov and topologically conjugate to , but a conjugacy is…
Smooth local rigidity for hyperbolic toral automorphisms
Boris Kalinin, Victoria Sadovskaya, Zhenqi Jenny Wang
We study the regularity of a conjugacy between a hyperbolic toral automorphism and its smooth perturbation We show that if is weakly differentiable then it is $C^{1…
Diffeomorphism cocycles over partially hyperbolic systems
Victoria Sadovskaya
We consider Hölder continuous cocycles over an accessible partially hyperbolic system with values in the group of diffeomorphisms of a compact manifold . We obtain several resul…