Ruihao Gu

collaborators

4 papers

math.DS2026

Stable ergodicity of skew product endomorphisms on $T^{2}$

Ruihao Gu

For a family of skew product endomorphisms on closed surface $f_{I ¨} (x, y) = (l x, y + I ¨ (x))$ , where $l \in N_{\geq 2}$ and $I ¨ : S^{1} \to R$ is a $C^{r} (r > 1)$ …

math.DS2026

Semi-conjugacy rigidity for endomorphisms derived from Anosov on the 2-torus

Ruihao Gu, Mingyang Xia

Let $f$ 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.DS2026

The TeichmÃ¼ller Space of a 3-Dimensional Anosov Flow

Ruihao Gu, Yi Shi

For a transitive Anosov flow $I^¦$ on 3-dimensional closed manifold $M$ , we realize its TeichmÃ¼ller space in the sense of smooth orbit-equivalence classes as a product of two func…

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…

Stable ergodicity of skew product endomorphisms on T2

Semi-conjugacy rigidity for endomorphisms derived from Anosov on the 2-torus

The TeichmÃ¼ller Space of a 3-Dimensional Anosov Flow

Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms

Stable ergodicity of skew product endomorphisms on $T^{2}$