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math.DS2023
Semi-conjugacy rigidity for endomorphisms derived from Anosov on the 2-torus
Ruihao Gu, Mingyang Xia
Let be a non-invertible partially hyperbolic endomorphism on $\TT^2$ which is derived from a non-expanding Anosov endomorphism. Differing from the case of diffeomorphisms deriv…
math.DS2023★ 1 cited
Smooth Stable Foliations of Anosov Diffeomorphisms
Ruihao Gu
In this paper, we focus on the rigidity of -smooth codimension-one stable foliations of Anosov diffeomorphisms. Specifically, we show that if the regularity of these foliat…
math.DS2023
Stable ergodicity of skew product endomorphisms on
Ruihao Gu
For a family of skew product endomorphisms on closed surface , where and is a fun…