Yi Shi

activity

20132026

most citedRigidity of stable Lyapunov exponents and integrability for Anosov maps

8 citations · 26 across the 22 of their papers we have counts for

collaborators

Showing 2022 · math.DSShow all

4 papers · 2 filters

math.DS2022★ 3 cited

Topological and smooth classification of Anosov maps on torus

Ruihao Gu, Yi Shi

In this paper, we give a complete topological and smooth classification of non-invertible Anosov maps on torus. We show that two non-invertible Anosov maps on torus are topological…

math.DS2022

$C^{r}$ -Chain closing lemma for certain partially hyperbolic diffeomorphisms

Yi Shi, Xiaodong Wang

For every $r \in N_{\geq 2} \cup {\infty}$ , we prove a $C^{r}$ -orbit connecting lemma for dynamically coherent and plaque expansive partially hyperbolic diffeomorphisms with 1…

math.DS2022

Joint integrability and spectral rigidity for Anosov diffeomorphisms

Andrey Gogolev, Yi Shi

Let $f : T^{d} \to T^{d}$ be an Anosov diffeomorphism whose linearization $A \in GL (d, Z)$ is irreducible. Assume that $f$ is also absolutely partially h…

math.DS2022★ 8 cited

Rigidity of stable Lyapunov exponents and integrability for Anosov maps

Jinpeng An, Shaobo Gan, Ruihao Gu +1

Let $f$ be a non-invertible irreducible Anosov map on $d$ -torus. We show that if the stable bundle of $f$ is one-dimensional, then $f$ has the integrable unstable bundle, if and on…

Topological and smooth classification of Anosov maps on torus

Cr-Chain closing lemma for certain partially hyperbolic diffeomorphisms

Joint integrability and spectral rigidity for Anosov diffeomorphisms

Rigidity of stable Lyapunov exponents and integrability for Anosov maps

$C^{r}$ -Chain closing lemma for certain partially hyperbolic diffeomorphisms