Random Young diagrams in a Rectangular Box

Details Random Young diagrams in a Rectangular Box Random Young diagrams in a Rectangular Box

2010-08-04

arxiv.org/abs/1008.0846v2

Mathematics

Probability

27 pages

Scientific paper

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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