11 citations · 18 across the 14 of their papers we have counts for
18 papers
Rigidity and equidistribution of random walks by diffeomorphisms near the conservative regime
Timothée Bénard, Zhiyuan Zhang
We consider a random walk on a closed manifold driven by a probability measure on the space of diffeomorphisms. Provided has compact support, satisfies certain ga…
Ergodicity of (co)expanding on average random dynamical systems
Jonathan DeWitt, Dmitry Dolgopyat, Zhiyuan Zhang
We prove ergodicity for random dynamics satisfying some expansion and irreducibility conditions. As a particular application, we show that if , $d\ge 2…
Spectral conditions for forbidden subgraphs in bipartite graphs
Yuan Ren, Jing Zhang, Zhiyuan Zhang
A graph is -free, if it contains no as a subgraph. A graph is said to be \emph{-minor free}, if it does not contain as a minor. In recent years, Nikiforov asked t…
Geometric properties of partially hyperbolic measures and applications to measure rigidity
Alex Eskin, Rafael Potrie, Zhiyuan Zhang
We give a geometric characterization of the quantitative non-integrability, introduced by Katz, of strong stable and unstable bundles of partially hyperbolic measures and sets in d…
On pseudo-rotations of the annulus with generic rotation number
Barney Bramham, Zhiyuan Zhang
We show that for a Baire generic rotation number , the set of area preserving -pseudo-rotations of the annulus with rotation nu…
On bifurcation of statistical properties of partially hyperbolic endomorphisms
Masato Tsujii, Zhiyuan Zhang
We give an example of a path-wise connected open set of partially hyperbolic endomorphisms on the -torus, on which the SRB measure exists for each system and varies s…