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Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2008

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

Abstract

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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Dates and versions

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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