8 citations · 30 across the 20 of their papers we have counts for
21 papers
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…
Shub's example revisited
Chao Liang, Radu Saghin, Fan Yang +1
For a class of robustly transitive diffeomorphisms on introduced by Shub in [24], satisfying an additional bunching condition, we show that there exits a open a…
Maximal transverse measures of expanding foliations
Raul Ures, Marcelo Viana, Fan Yang +1
For an expanding (unstable) foliation of a diffeomorphism, we use a natural dynamical averaging to construct transverse measures, which we call \emph{maximal}, describing the stati…
Equilibrium states for the classical Lorenz attractor and sectional-hyperbolic attractors in higher dimensions
Maria Jose Pacifico, Fan Yang, Jiagang Yang
It has long been conjectured that the classical Lorenz attractor supports a unique measure of maximal entropy. In this article, we give a positive answer to this conjecture and its…
Branching Brownian motion in a periodic environment and uniqueness of pulsating travelling waves
Yan-Xia Ren, Renming Song, Fan Yang
Using one-dimensional branching Brownian motion in a periodic environment, we give probabilistic proofs of the asymptotics and uniqueness of pulsating travelling waves of the F-KPP…
Branching Brownian motion in a periodic environment and existence of pulsating travelling waves
Yan-Xia Ren, Renming Song, Fan Yang
We study the limits of the additive and derivative martingales of one-dimensional branching Brownian motion in a periodic environment. Then we prove the existence of pulsating trav…
Uniqueness of equilibrium states for Lorenz attractors in any dimension
Maria Jose Pacifico, Fan Yang, Jiagang Yang
In this note, we consider the thermodynamic formalism for Lorenz attractors of flows in any dimension. Under a mild condition on the Hölder continuous potential function , we pr…
Existence and uniqueness of equilibrium states for systems with specification at a fixed scale
Maria Jose Pacifico, Fan Yang, Jiagang Yang
We consider the uniqueness of equilibrium states for dynamical systems that satisfy certain weak, non-uniform versions of specification, expansivity, and the Bowen property at a fi…
An entropy dichotomy for singular star flows
Maria José Pacifico, Fan Yang, Jiagang Yang
We show that non-trivial chain recurrent classes for generic star flows satisfy a dichotomy: either they have zero topological entropy, or they must be isolated. Moreover, ch…
Statistical properties of physical-like measures
Shaobo Gan, Fan Yang, Jiagang Yang +1
In this paper we consider the semi-continuity of the physical-like measures for diffeomorphisms with dominated splittings. We prove that any weak-* limit of physical-like measures…
A countable partition for singular flows, and its application on the entropy theory
Yi Shi, Fan Yang, Jiagang Yang
In this paper, we construct a countable partition for flows with hyperbolic singularities by introducing a new cross section at each singularity. Such partition forms…
Rare event process and entry times distribution for arbitrary null sets on compact manifolds
Fan Yang
We establish the general equivalence between rare event process for arbitrary continuous functions whose maximal values are achieved on non-trivial sets, and the entry times distri…
Entropy theory for sectional hyperbolic flows
Maria Jose Pacifico, Fan Yang, Jiagang Yang
We use entropy theory as a new tool to study sectional hyperbolic flows in any dimension. We show that for flows, every sectional hyperbolic set is entropy expansive, and…
New criterion of physical measures for partially hyperbolic diffeomorphisms
Yongxia Hua, Fan Yang, Jiagang Yang
We show that for any partially hyperbolic diffeomorphism, there is a full volume subset, such that any Cesaro limit of any point in this subset satisfies the Pesin formula fo…
Local Escape Rates for -mixing Dynamical Systems
Nicolai Haydn, Fan Yang
We show that dynamical systems with -mixing measures have local escape rates which are exponential with rate at non-periodic points and equal to the extremal index at period…
Exponential Law for Random Maps on Compact Manifolds
Nicolai Haydn, Jerome Rousseau, Fan Yang
We consider random dynamical systems on manifolds modeled by a skew product which have certain geometric properties and whose measures satisfy quenched decay of correlations at a s…
Decay of correlations for maximal measure of maps derived from Anosov
Fan Yang, Jiagang Yang
It was proven by Ures that diffeomorphism on three dimensional torus that is derived from Anosov admits a unique maximal measure. Here we show that the maximal measure has ex…
Hitting times distribution and extreme value law for flows
Maria Jose Pacifico, Fan Yang
For flows whose return map on a cross section has sufficient mixing property, we show that the hitting time distribution of the flow to balls is exponential in limit. We also estab…
Poisson Law for returns of Maps on Compact Manifolds
Nicolai Haydn, Fan Yang
We consider invariant measures of maps on manifolds whose correlations decay at a sufficient rate and which satisfy a geometric contraction property. We then prove the that the lim…
Entry times distribution for mixing systems
Nicolai Haydn, Fan Yang
We consider the return times dynamics to Bowen balls for continuous maps on metric spaces which have invariant probability measures with certain mixing properties. These mixing pro…
Entry times distribution for dynamical balls on metric spaces
Nicolai Haydn, Fan Yang
We show that the entry and return times for dynamic balls (Bowen balls) is exponential for systems that have an -mixing invariant measure with certain regularities. We also show…