19 citations · 99 across the 21 of their papers we have counts for
22 papers
Phase transitions for the geodesic flow of a rank one surface with nonpositive curvature
Keith Burns, Jérôme Buzzi, Todd Fisher +1
We study the one parameter family of potential functions associated with the geometric potential for the geodesic flow of a compact rank 1 surface of nonpositive curva…
Accessibility and centralizers for partially hyperbolic flows
Todd Fisher, Boris Hasselblatt
Stable accessibility for partially hyperbolic diffeomorphisms is central to their ergodic theory, and we establish its \(C^1\)-density among 1. all, 2. volume-preserving, 3. symple…
Equilibrium states for natural extensions of non-uniformly expanding local homeomorphisms
Todd Fisher, Krerley Oliveira
We examine uniqueness of equilibrium states for the natural extension of a topologically exact, non-uniformly expanding, local homeomorphism with a Hölder continuous potential func…
Equilibrium states for certain partially hyperbolic attractors
Todd Fisher, Krerley Oliveira
We prove that a class of partially hyperbolic attractors introduced by Castro and Nascimento have unique equilibrium states for natural classes of potentials. We also show if the a…
A dichotomy for measures of maximal entropy near time-one maps of transitive Anosov flows
Jérôme Buzzi, Todd Fisher, Ali Tahzibi
We show that time-one maps of transitive Anosov flows of compact manifolds are accumulated by diffeomorphisms robustly satisfying the following dichotomy: either all of the measure…
Centralizers of hyperbolic and kinematic-expansive flows
Lennard Bakker, Todd Fisher, Boris Hasselblatt
We show generic hyperbolic flows (Axiom A and no cycles, but not transitive Anosov) commute with no -diffeomorphism other than a time-t map of the flow itself.…