The ergodicity of the geodesic flow and Fenchel-Nielsen coordinates

Abstract: Fix a topological pants decomposition $P$ of an infinite surface X. The set of conformal hyperbolic metrics on X is parametrized by the Fenchel-Nielsen coordinates on the pants decomposition P. We give sufficient conditions on the Fenchel-Nielsen coordinates such that the harmonic type of X is parabolic, i.e. X in O_G. This is a joint work with Ara Basmajian and Hrant Hakobyan.

analysis of PDEscomplex variablesdynamical systemsmetric geometry

Audience: researchers in the topic

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