Zhiyuan Zhang

most citedOn mixing diffeomorphisms of the disk

7 citations · 7 across the 2 of their papers we have counts for

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math.DS2026

Perturbation of the time-1 map of a generic volume-preserving $3$ -dimensional Anosov flow

Masato Tsujii, Zhiyuan Zhang

Let $s > 1$ be a large integer, and let $f$ be a diffeomorphism sufficiently close in the $C^{s}$ -topology to the time-1 map of a $C^{s}$ generic volume-preserving Anosov flow on a…

math.DS2015★ 7 cited

On mixing diffeomorphisms of the disk

A. Avila, B. Fayad, P. Le Calvez +2

We prove that a real analytic pseudo-rotation $f$ of the disc or the sphere is never topologically mixing. When the rotation number of $f$ is of Brjuno type, the latter follows fro…

Perturbation of the time-1 map of a generic volume-preserving 3-dimensional Anosov flow

On mixing diffeomorphisms of the disk

Perturbation of the time-1 map of a generic volume-preserving $3$ -dimensional Anosov flow