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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2021 Volume 55, Issue 1, Pages 33–42 (Mi faa3869)

This article is cited in 3 papers

Ergodicity and Totality of Partitions Associated with the RSK Correspondence

A. M. Vershikabc, N. V. Tsilevicha

a St. Petersburg Department of Steklov Institute of Mathematics, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
c Institute for Information Transmission Problems, Moscow, Russia

Abstract: The asymptotic properties of sequences of partitions ($\sigma$‑algebras) associated with the Robinson–Schensted–Knuth correspondence in spaces with Bernoulli measures are studied.

Keywords: RSK correspondence, youngization, ergodicity of a sequence of partitions, totality of a sequence of partitions.

UDC: 517.918

Received: 23.12.2020
Revised: 23.12.2020
Accepted: 30.12.2020

DOI: 10.4213/faa3869


 English version:
Functional Analysis and Its Applications, 2021, 55:1, 26–33

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© Steklov Math. Inst. of RAS, 2024