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- W3034304098 abstract "We consider two examples of a fully decodable combinatorial encoding of Bernoulli schemes: the encoding via Weyl simplices and the much more complicated encoding via the RSK (Robinson--Schensted--Knuth) correspondence. In the first case, the decodability is a quite simple fact, while in the second case, this is a nontrivial result obtained by D.~Romik and P.~Śniady and based on the papers~ cite{KV}, cite{VK}, and others. We comment on the proofs from the viewpoint of the theory of measurable partitions; another proof, using representation theory and generalized Schur--Weyl duality, will be presented elsewhere. We also study a new dynamics of Bernoulli variables on $P$-tableaux and find the limit 3D-shape of these tableaux." @default.
- W3034304098 created "2020-06-19" @default.
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- W3034304098 date "2020-06-14" @default.
- W3034304098 modified "2023-09-27" @default.
- W3034304098 title "Combinatorial encoding of Bernoulli schemes and the asymptotic behavior of Young tableaux" @default.
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