|
ВИДЕОТЕКА |
Central and invariant measures and applications
|
|||
|
Poisson limit of bumping routes in the Robinson–Schensted correspondence P. Sniady |
|||
Аннотация: Joint work with Dan Romik, Łukasz Maślanka, Mikołaj Marciniak. We are interested in asymptotic questions related to Robinson–Schensted–Knuth algorithm applied to a random input and Plancherel measure on the set of infinite standard Young tableaux. One of such questions concerns the shape of the bumping route when a specified number is inserted into a large (or infinite) Plancherel-distributed tableau; somewhat surprisingly this problem turns out to be equivalent to the question (stated by Vershik in 2020) about the time-evolution of the position of a specified number in the insertion tableau as more and more numbers are inserted. We focus on the direct vicinity of the Further reading: https://arxiv.org/abs/2005.14397 Язык доклада: английский |