From the 1 of 4 linked papers with an AI index.
4 papers
SRB Measures for Diffeomorphisms
Nan Ding, Shaobo Gan, Yao Tong
The paper establishes a Ledrappier–Young type criterion for SRB measures of C^{1+\mathrm{Dini}} diffeomorphisms with dominated splittings, linking absolute continuity on unstable m…
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…
Uniformly distributed periodic orbits of endomorphisms on -tori
Daohua Yu, Shaobo Gan
We prove that any ergodic endomorphism on torus admits a sequence of periodic orbits uniformly distributed in the metric sense. As a corollary, an endomorphism on torus is ergodic…
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…