9 citations · 9 across the 6 of their papers we have counts for
7 papers
Ledrappier-Young entropy formula for diffeomorphisms with dominated splitting Part 3: full formula with arbitrary multiplicities
Yao Tong
We establish the full Ledrappier-Young entropy formula for ergodic invariant measures of diffeomorphisms when the positive Oseledets bundles and their nonpositive complement…
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…
Recursive divergence formulas for perturbing unstable transfer operators and physical measures
Angxiu Ni, Yao Tong
We show that the derivative of the (measure) transfer operator with respect to the parameter of the map is a divergence. Then, for physical measures of discrete-time hyperbolic cha…