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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
Rigidity of center Lyapunov exponents for Anosov diffeomorphisms on 3-torus
Daohua Yu, Ruihao Gu
Let f and g be two Anosov diffeomorphisms on T3 with three-subbundles partially hyperbolic splittings where the weak stable subbundles are considered as center subbundles. Assume t…
math.DS2022★ 8 cited
Rigidity of stable Lyapunov exponents and integrability for Anosov maps
Jinpeng An, Shaobo Gan, Ruihao Gu +1
Let be a non-invertible irreducible Anosov map on -torus. We show that if the stable bundle of is one-dimensional, then has the integrable unstable bundle, if and on…