2 citations · 2 across the 6 of their papers we have counts for
9 papers · 1 filter
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…