The theory of filtrations of subalgebras, standardness, and independence

DOI10.1070/RM9763zbMath1370.05220arXiv1705.06619MaRDI QIDQ5360677

Anatoly M. Vershik

Publication date: 26 September 2017

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06619

zbMATH Keywords

independencefiltrationsstandardness\(\sigma\)-algebrascentral measuresgraded graphs

Mathematics Subject Classification ID

Related Items (14)

The absolute of finitely generated groups. I: Commutative (semi)groups ⋮ Markovianity and the Thompson monoid \(F^+\) ⋮ Dynamics of metrics in measure spaces and scaling entropy ⋮ The problem of combinatorial encoding of a continuous dynamics and the notion of transfer of paths in graphs ⋮ Combinatorial encoding of Bernoulli schemes and the asymptotic behavior of Young tableaux ⋮ Ergodicity and totality of partitions associated with the RSK correspondence ⋮ A method of defining central and Gibbs measures and the ergodic method ⋮ The absolute of finitely generated groups. II: The Laplacian and degenerate parts ⋮ Asymptotics of the partition of the cube into Weyl simplices and an encoding of a Bernoulli scheme ⋮ On a universal Borel adic space ⋮ A remark on the isomorphism between the Bernoulli scheme and the Plancherel measure ⋮ Duality and free measures in vector spaces, the spectral theory of actions of non-locally compact groups ⋮ Combinatorial invariants of metric filtrations and automorphisms; the universal adic graph ⋮ Markovianity and the Thompson group \(F\)

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