9 citations · 9 across the 6 of their papers we have counts for
4 papers · 1 filter
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…