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Rectangular Young tableaux and the Jacobi ensemble

It has been shown by Pittel and Romik that the random surface associated with a large rectangular Youngtableau converges to a deterministic limit. We study the fluctuations from this limit along the edges of the rectangle.We show that in the corner, these fluctuations are gaussian whereas, away from...

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Autor principal: Philippe Marchal
Formato: Artigo
Lenguaje:Inglês
Publicado: Discrete Mathematics & Theoretical Computer Science 2020-04-01
Colección:Discrete Mathematics & Theoretical Computer Science
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Acceso en línea:https://dmtcs.episciences.org/6417/pdf
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