3 papers
math.DS2024
Inducing recurrent flows by twisting on infinite surfaces with unbounded cuffs
Hrant Hakobyan, Michael Pandazis, Dragomir Saric
A Riemann surface is parabolic if and only if the geodesic flow (for the hyperbolic metric) on the unit tangent bundle of is ergodic. Consider a Riemann surface with a…
math.GT2023
Non-ergodicity of the geodesic flow on Cantor tree surfaces
Michael Pandazis
A Riemann surface equipped with its conformal hyperbolic metric is parabolic if and only if the geodesic flow on its unit tangent bundle is ergodic. Let X be a Cantor tree or a blo…
math.GT2022
Ergodicity of the geodesic flow on symmetric surfaces
Michael Pandazis, Dragomir Šarić
We consider conditions on the Fenchel-Nielsen parameters of a Riemann surface that guarantee the surface is of parabolic type. An interesting class of Riemann surfaces for…