102 citations · 241 across the 30 of their papers we have counts for
31 papers
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…
An Improved Climenhaga-Thompson Criterion for Locally Maximal Sets
Maria Jose Pacifico, Fan Yang, Jiagang Yang +1
We study the existence and uniqueness of equilibrium states for continuous flows on a compact, locally maximal invariant set under weak, non-uniform versions of specification, expa…
Finite Measures of Maximal Entropy for an Open Set of Partially Hyperbolic Diffeomorphisms
Juan Carlos Mongez, Maria Jose Pacifico
We consider partially hyperbolic diffeomorphisms with a one-dimensional central direction such that the unstable entropy exceeds the stable entropy. Our main result proves that…
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…
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…