Random Young diagrams in a Rectangular Box

2010/08/04 by Dan Beltoft, Beltoft, Dan, Cédric Boutillier +3
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications #math.CO #math.PR

paper · pdf · doi:10.48550/arxiv.1008.0846

27 pages

openalex publication_date 2010/08/04 · arxiv created 2010/12/14 · arxiv updated 2010/12/15 · openalex created_date 2019/07/30 · openalex updated_date 2026/08/01

Abstract

We exhibit the limit shape of random Young diagrams having a distribution proportional to the exponential of their area, and confined in a rectangular box. The Ornstein-Uhlenbeck bridge arises from the fluctuations around the limit shape.

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