8 citations · 30 across the 20 of their papers we have counts for
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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…