Measurable equidecompositions for group actions with an expansion property

DOI10.4171/JEMS/1189MaRDI QIDQ2098198

Oleg Pikhurko, Łukasz Grabowski, András Máthé

Publication date: 17 November 2022

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02958

zbMATH Keywords

Banach-Tarski paradoxfinitely additive meanlocal spectral gapmeasurable equidecomposition

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) General groups of measure-preserving transformations (28D15) Means (26E60) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (6)

Asymptotic expansion in measure and strong ergodicity ⋮ Combinatorics. Abstracts from the workshop held January 1--7, 2023 ⋮ A Markovian and Roe-algebraic approach to asymptotic expansion in measure ⋮ Measurable graph combinatorics ⋮ MEASURABLE REALIZATIONS OF ABSTRACT SYSTEMS OF CONGRUENCES ⋮ Local spectral gap in simple Lie groups and applications

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