2 papers
math.DS2026
A prime orbit theorem for smooth surface diffeomorphisms
Gang Liao, Yao Tong
We establish a sharp prime orbit theorem for every homoclinic class of a diffeomorphism on a closed surface with positive topological entropy. Let be a hom…
math.DS2026
Continuity properties of partial entropy
Gang Liao, Huirong Tao, Yao Tong +1
We establish a general criterion on the upper semi-continuity of partial entropy in all directions for diffeomorphisms: it holds when the respective sums of Lyapunov exp…