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20232026
most citedSmooth Stable Foliations of Anosov Diffeomorphisms

1 citations · 1 across the 3 of their papers we have counts for

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6 papers

math.DS2026

On the Absence of Anosov Factors for DA Local Diffeomorphisms

Ruihao Gu, Mingyang Xia

We give a class of local diffeomorphisms which are homotopic to toral hyperbolic endomorphisms, but which are not topologically semi-conjugate, within the homotopic class of the id…

math.DS2026

The Teichmüller Space of a 3-Dimensional Anosov Flow

Ruihao Gu, Yi Shi

For a transitive Anosov flow on 3-dimensional closed manifold , we realize its Teichmüller space in the sense of smooth orbit-equivalence classes as a product of two functi…

math.DS2024

Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms

Ruihao Gu, Wenchao Li

Under some non-invertibility and irreducibility condition, for nilmanifold Anosov maps with one-dimensional stable bundle, we get the equivalence among the existence of invariant u…

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.DS20231 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…