3 papers
math.DS2025
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…
math.DS2025
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…
math.DS2024
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…