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Sofic approximations and quantitative measure couplings

2022/05/24 by Amandine Escalier, Escalier, Amandine · 1 citation
Engineering · #37A20 #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #Spacecraft Dynamics and Control

paper · pdf · doi:10.48550/arxiv.2205.12137

openalex publication_date 2022/05/24 · openalex created_date 2022/05/27 · openalex updated_date 2026/07/28

Abstract

We build quantitative measure subgroup couplings from a Brieussel-Zheng diagonal product to a lamplighter group. We use them to answer the inverse problem of the quantification; namely, find a group admitting a measure subgroup coupling with a prescribed group with prescribed quantification, in the case of the lamplighter group.

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