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arXiv · 1008.0846

Random Young diagrams in a Rectangular Box

Dan Beltoft·Cédric Boutillier·Nathanaël Enriquez
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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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Dan Beltoft, Cédric Boutillier, Nathanaël Enriquez. 2010-12-14. Random Young diagrams in a Rectangular Box. https://arxiv.org/abs/1008.0846

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