Random Young diagrams in a Rectangular Box

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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27 pages. 2010
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https://hal.archives-ouvertes.fr/hal-00508535
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Submitted on : Tuesday, December 14, 2010 - 1:07:11 AM
Last modification on : Thursday, March 16, 2017 - 1:07:41 AM
Document(s) archivé(s) le : Tuesday, March 15, 2011 - 2:45:17 AM

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  • HAL Id : hal-00508535, version 2
  • ARXIV : 1008.0846

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Dan Beltoft, Cédric Boutillier, Nathanaël Enriquez. Random Young diagrams in a Rectangular Box. 27 pages. 2010. 〈hal-00508535v2〉

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