Benjamini-Schramm convergence of periodic orbits

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.

Detalles Bibliográficos
Autores principales: Mohammadi, Amir, Rafi, Kasra
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2022
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9345847/
https://www.ncbi.nlm.nih.gov/pubmed/35935459
http://dx.doi.org/10.1007/s10711-022-00703-9
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author Mohammadi, Amir
Rafi, Kasra
author_facet Mohammadi, Amir
Rafi, Kasra
author_sort Mohammadi, Amir
collection PubMed
description 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.
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spelling pubmed-93458472022-08-04 Benjamini-Schramm convergence of periodic orbits Mohammadi, Amir Rafi, Kasra Geom Dedic Original Paper 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. Springer Netherlands 2022-08-02 2022 /pmc/articles/PMC9345847/ /pubmed/35935459 http://dx.doi.org/10.1007/s10711-022-00703-9 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Paper
Mohammadi, Amir
Rafi, Kasra
Benjamini-Schramm convergence of periodic orbits
title Benjamini-Schramm convergence of periodic orbits
title_full Benjamini-Schramm convergence of periodic orbits
title_fullStr Benjamini-Schramm convergence of periodic orbits
title_full_unstemmed Benjamini-Schramm convergence of periodic orbits
title_short Benjamini-Schramm convergence of periodic orbits
title_sort benjamini-schramm convergence of periodic orbits
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9345847/
https://www.ncbi.nlm.nih.gov/pubmed/35935459
http://dx.doi.org/10.1007/s10711-022-00703-9
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AT rafikasra benjaminischrammconvergenceofperiodicorbits

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