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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Veröffentlicht in:Discrete mathematics and theoretical computer science Jg. DMTCS Proceedings, 28th...
1. Verfasser: Marchal, Philippe
Format: Journal Article Tagungsbericht
Sprache:Englisch
Veröffentlicht: DMTCS 22.04.2020
Discrete Mathematics & Theoretical Computer Science
Schlagworte:
[math.math-co]mathematics [math]/combinatorics [math.co]
Combinatorics
Mathematics
Combinatorics
ISSN:1365-8050, 1462-7264, 1365-8050
Online-Zugang:Volltext
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Zusammenfassung: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 the corner and when the rectangle isa square, the fluctuations are given by the Tracy-Widom distribution. Our method is based on a connection with theJacobi ensemble.
ISSN:1365-8050
1462-7264
1365-8050
DOI:10.46298/dmtcs.6417