Asymptotics of the partition of the cube into Weyl simplices and an encoding of a Bernoulli scheme

DOI10.1134/S0016266319020023zbMath1427.37033arXiv1904.02924OpenAlexW2963841085WikidataQ127493423 ScholiaQ127493423MaRDI QIDQ2278741

Anatoly M. Vershik

Publication date: 10 December 2019

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02924

zbMATH Keywords

transfergraded graphBernoulli schemecombinatorial encoding

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items (4)

Estimating the asymptotic behavior of the entropy of an invariant sequence of partitions of the infinite-dimensional cube ⋮ 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 ⋮ A method of defining central and Gibbs measures and the ergodic method

Cites Work

• Unnamed Item
• Harmonic analysis on the infinite symmetric group
• Classification of measurable functions of several variables and invariantly distributed random matrices
• Three theorems on the uniqueness of the Plancherel measure from different viewpoints
• Jeu de taquin dynamics on infinite Young tableaux and second class particles
• Robinson--Schensted--Knuth Algorithm, Jeu de Taquin, and Kerov--Vershik Measures on Infinite Tableaux
• The Characters of the Infinite Symmetric Group and Probability Properties of the Robinson–Schensted–Knuth Algorithm
• The universal minimal system for the group of homeomorphisms of the Cantor set
• The theory of filtrations of subalgebras, standardness, and independence
• LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS

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