3 papers
math.DS2026
Komuro Expansivity and Periodic Orbit Growth for Multi-Singular Hyperbolic Flows
Maria José Pacifico, Fan Yang, Jiagang Yang +1
In this paper we prove that every multi-singular hyperbolic set of a flow is Komuro expansive. This is the strongest natural form of expansivity for flows with singularities…
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…