6 papers · 1 filter
Global periodic-data rigidity for irreducible toral automorphisms
Zhenqi Jenny Wang
We prove a global \(C^{1+\text{Hölder}}\)-rigidity theorem for Anosov diffeomorphisms of tori with irreducible linearization. Let \(f:\mathbb T^N\to\mathbb T^N\) be a \(C^2\) Anos…
Multiple mixing and multiple fractional cohomological equation: semisimple setting
Zhenqi Jenny Wang
The purpose of this paper is to develop a new effective approach to higher-order mixing in the semisimple setting. We prove effective exponential mixing of all orders for partially…
Multiple Fractional Cohomological Equations and Quantitative Mixing on Nilmanifolds
Zhenqi Jenny Wang
We develop a new analytic method for quantitative mixing of automorphisms on nilmanifolds. The method is based on the introduction and solvability of \emph{multiple fractional coho…
Local rigidity of weak or no hyperbolicity algebraic actions
Zhenqi Jenny Wang
In this paper we study rigidity properties of abelian \hyphenation{break-able}actions with weak or no hyperbolicty. We introduce a general strategy for proving local rig…
Local rigidity of higher rank partially hyperbolic algebraic actions
Zhenqi Jenny Wang
We give a complete solution to the local classification program of higher rank partially hyperbolic algebraic actions. We show local rigidity of abelian ergodic algebrai…
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…