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Journal Articles Moscow Mathematical Journal Year : 2012

Random Young diagrams in a Rectangular Box


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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Dates and versions

hal-00508535 , version 1 (04-08-2010)
hal-00508535 , version 2 (14-12-2010)



Dan Beltoft, Cédric Boutillier, Nathanaël Enriquez. Random Young diagrams in a Rectangular Box. Moscow Mathematical Journal, 2012, 12 (4), pp.719-745. ⟨hal-00508535v2⟩
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