Geodesic
Ergodicity and Totality of Partitions Associated with the RSK Correspondence
Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 1, pp. 33-42

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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. 
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A. M. Vershik; N. V. Tsilevich. Ergodicity and Totality of Partitions Associated with the RSK Correspondence. Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 1, pp. 33-42. http://geodesic.mathdoc.fr/item/FAA_2021_55_1_a2/