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math.PR2010
Statistical mechanics on isoradial graphs
Cédric Boutillier, Béatrice De Tilière
Isoradial graphs are a natural generalization of regular graphs which give, for many models of statistical mechanics, the right framework for studying models at criticality. In thi…
math.PR2010
Random Young diagrams in a Rectangular Box
Dan Beltoft, Cédric Boutillier, Nathanaël Enriquez
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 b…