Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2008

Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams

Résumé

We asymptotically analyse the volume random variables of general, symmetric and cyclically symmetric plane partitions fitting inside a box. We consider the respective symmetry class equipped with the uniform distribution. We also prove area limit laws for two ensembles of Ferrers diagrams. Most limit laws are Gaussian.

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hal-01194666 , version 1 (07-09-2015)

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Uwe Schwerdtfeger. Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams. Fifth Colloquium on Mathematics and Computer Science, 2008, Kiel, Germany. pp.531-540, ⟨10.46298/dmtcs.3589⟩. ⟨hal-01194666⟩

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