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Pré-Publication, Document De Travail Année : 2020

Limit shapes of large skew Young tableaux and a modification of the TASEP process

Résumé

We present a survey of points of view on the problem of the asymptotic shape of a path between two large Young diagrams, and introduce a modification of the TASEP process related to it. This representation allows to write explicitly the functional, counting the asymptotics of the number of Young tableau close to a given one, as well as to see the sine-process on the boundary shape of a large random Young diagram.

Dates et versions

hal-03049564 , version 1 (09-12-2020)

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Anna Gordenko. Limit shapes of large skew Young tableaux and a modification of the TASEP process. 2020. ⟨hal-03049564⟩
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