32 citations · 167 across the 48 of their papers we have counts for
49 papers
Komuro Expansivity and Periodic Orbit Growth for Multi-Singular Hyperbolic Flows
Maria José Pacifico, Fan Yang, Jiagang Yang +1
In this paper we prove that every multi-singular hyperbolic set of a flow is Komuro expansive. This is the strongest natural form of expansivity for flows with singularities…
Margulis Measures on Expanding Foliations: Construction and Rigidity
Jérôme Buzzi, Yi Shi, Fan Yang +1
Given a diffeomorphism preserving a one-dimensional expanding foliation with homogeneous exponential growth, we construct a family of reference measures on each leaf o…
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…
Lyapunov spectrum of homoclinic classes
Lorenzo J. Díaz, Katrin Gelfert, Xiaodong Wang +1
We study the Lyapunov spectrum of the ergodic measures of isolated homoclinic classes of -generic diffeomorphisms. We show that this spectrum has nonempty interior and that an…
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…
An Ergodic Spectral Decomposition Theorem for Singular Star Flows
Maria Jose Pacifico, Fan Yang, Jiagang Yang
For Axiom A diffeomorphisms and flows, Smale's Spectral Decomposition Theorem asserts that the non-wandering set decomposes into finitely many isolated hyperbolic basic sets, each…