3 papers
math.DS2024
Local product structure for equilibrium states of geodesic flows and applications
Benjamin Call, David Constantine, Alena Erchenko +2
Let be a compact surface of genus equipped with a metric that is flat everywhere except at finitely many cone points with angles greater than . We examine the geod…
math.DS2021
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…
math.DS2021
Unique equilibrium states for geodesic flows on flat surfaces with singularities
Benjamin Call, David Constantine, Alena Erchenko +2
Consider a compact surface of genus equipped with a metric that is flat everywhere except at finitely many cone points with angles greater than . Following the techniq…