5 papers · 1 filter
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…
SRB Measures for Diffeomorphisms
Nan Ding, Shaobo Gan, Yao Tong
For diffeomorphisms, we prove a Ledrappier--Young-type characterization of SRB measures among invariant measures whose supports admit dominated splittings. Wh…
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 expo…
Ledrappier-Young entropy formula for diffeomorphisms with dominated splitting Part 1: Unstable entropy formula and invariance principle
Shaobo Gan, Yao Tong, Jiagang Yang
We study the unstable entropy of diffeomorphisms with dominated splittings. Our main result shows that when the zero Lyapunov exponent has multiplicity one, the center direct…
Equivariant divergence formula for chaotic flows
Angxiu Ni, Yao Tong
We prove the equivariant divergence formula for the axiom A flow attractors, which is a recursive formula for perturbation of transfer operators of physical measures along center-u…