Daohua Yu

collaborators

3 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…

Asymptotic separation of periodic orbits and fractal dimension

Derived from expanding endomorphism on T2

Uniformly distributed periodic orbits of endomorphisms on n-tori

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

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