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

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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 of the limit laws are Gaussian.
9 pages, 1 figure, published in proceedings of the Fifth Colloquium on Mathematics and Computer Science

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Combinatorics, 05A16; 60C05

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http://salesiana.dossiersoluciones.com/handle/123456789/217342

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.4431
 http://arxiv.org/abs/0804.4431
 Uwe Schwerdtfeger, Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams, DMTCS proc. AI, 2008, 531-540

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arXiv