Non-standard limits of graphs and some orbit equivalence invariants

DOI10.5802/ahl.102zbMath1492.37006arXiv1812.00704OpenAlexW3181426627MaRDI QIDQ2077189

Mikael de la Salle, Alessandro Carderi, Damien Gaboriau

Publication date: 24 February 2022

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.00704

zbMATH Keywords

costBetti numbersultraproductsorbit equivalencerank gradientsoficityasymptotic properties of graphs and groups

Mathematics Subject Classification ID

Ultraproducts in functional analysis (46M07) Structural characterization of families of graphs (05C75) Asymptotic properties of groups (20F69) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15) Limits, profinite groups (20E18) Nonstandard measure theory (28E05) Relations between ergodic theory and number theory (37A44)

Related Items (2)

Asymptotic invariants of lattices in locally compact groups ⋮ Uniform rank gradient, cost, and local-global convergence

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