Building prescribed quantitative orbit equivalence with the integers

DOI10.4171/ggd/766WikidataQ130023694 ScholiaQ130023694MaRDI QIDQ6594556

Amandine Escalier

Publication date: 28 August 2024

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

zbMATH Keywords

inverse problemintegrabilitylamplighter groupisoperimetric profileorbit equivalencediagonal productmeasure group theoryFølner tiling

Mathematics Subject Classification ID

Geometric group theory (20F65) Asymptotic properties of groups (20F69) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Relations between ergodic theory and number theory (37A44)

Cites Work

• Integrable measure equivalence for groups of polynomial growth
• Integrable measure equivalence and rigidity of hyperbolic lattices
• Entropy, Shannon orbit equivalence, and sparse connectivity
• Speed of random walks, isoperimetry and compression of finitely generated groups
• Quantitative measure equivalence between amenable groups
• On Groups of Measure Preserving Transformations. I
• Ergodic theory of amenable group actions. I: The Rohlin lemma
• On Groups of Measure Preserving Transformations. II

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