Daohua Yu

activity

20222026

collaborators

4 papers

math.DS2026

Asymptotic separation of periodic orbits and fractal dimension

Derong Kong, Zhiqiang Wang, Daohua Yu

For a totally bounded metric dynamical system $(X, d, T)$ we introduce a new critical value $s (X, d, T)$ which quantifies the asymptotic separation of periodic orbits. Mo…

math.DS2024

Derived from expanding endomorphism on $T^{2}$

Daohua Yu

Assume that $f$ is a $C^{r} (r \geq 3)$ specially partially hyperbolic endomorphism on the 2-torus which is homotopic to an expanding linear endomorphism $A$ with irrational eigenvalue…

math.DS2024

Uniformly distributed periodic orbits of endomorphisms on $n$ -tori

Daohua Yu, Shaobo Gan

We prove that any ergodic endomorphism on torus admits a sequence of periodic orbits uniformly distributed in the metric sense. As a corollary, an endomorphism on torus is ergodic…

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…

Asymptotic separation of periodic orbits and fractal dimension

Derived from expanding endomorphism on T2

Uniformly distributed periodic orbits of endomorphisms on n-tori

Rigidity of center Lyapunov exponents for Anosov diffeomorphisms on 3-torus

Derived from expanding endomorphism on $T^{2}$

Uniformly distributed periodic orbits of endomorphisms on $n$ -tori