3 papers
math.DS2026
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…
math.DS2025
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…
math.DS2024
Generic properties of vector fields identical on a compact set and codimension one partially hyperbolic dynamics
Shaobo Gan, Ruibin Xi, Jiagang Yang +1
Let be the set of vector fields on a boundaryless compact Riemannian manifold . Given a vector field and a compact invariant se…