Random Young diagrams in a Rectangular Box

C\'edric Boutillier (PMA; Dan Beltoft (IMF); DMA); Modal'x); Nathana\"el Enriquez (PMA

arxiv: 1008.0846 · v2 · pith:4WU5QGDMnew · submitted 2010-08-04 · 🧮 math.PR · math.CO

Random Young diagrams in a Rectangular Box

Dan Beltoft (IMF) , C\'edric Boutillier (PMA , DMA) , Nathana\"el Enriquez (PMA , Modal'x) This is my paper

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keywords diagramslimitrandomrectangularshapeyoungareaarises

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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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Random Young diagrams in a Rectangular Box

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