Benjamini-Schramm convergence of periodic orbits

Amir Mohammadi; Kasra Rafi

doi:10.1007/s10711-022-00703-9

Benjamini-Schramm convergence of periodic orbits

Geom Dedic. 2022;216(5):57. doi: 10.1007/s10711-022-00703-9. Epub 2022 Aug 2.

Authors

Amir Mohammadi¹, Kasra Rafi²

Affiliations

¹ Mathematics Department, UC San Diego, San Diego, CA USA.
² Department of Mathematics, University of Toronto, Toronto, ON Canada.

Abstract

We prove a criterion for Benjamini-Schramm convergence of periodic orbits of Lie groups. This general observation is then applied to homogeneous spaces and the space of translation surfaces.

Keywords: Benjamini-Schramm convergence; Measure classification; Stabilizers.