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math.GT2022
Transverse measures to infinite type laminations
Mladen Bestvina, Alexander J. Rasmussen
We study the cone of transverse measures to a fixed geodesic lamination on an infinite type hyperbolic surface. Under simple hypotheses on the metric, we give an explicit descripti…
math.GR2022
Valuations, completions, and hyperbolic actions of metabelian groups
Carolyn R. Abbott, Sahana Balasubramanya, Sam Payne +1
Actions on hyperbolic metric spaces are an important tool for studying groups, and so it is natural, but difficult, to attempt to classify all such actions of a fixed group. In thi…