2 citations · 4 across the 20 of their papers we have counts for
22 papers
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 \(C^2\) Anoso…
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…
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…
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…