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

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

2008-04-28

arxiv.org/abs/0804.4431v2

Uwe Schwerdtfeger, Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams, DMTCS proc. AI, 2008, 531-540

Mathematics

Combinatorics

9 pages, 1 figure, published in proceedings of the Fifth Colloquium on Mathematics and Computer Science

Scientific paper

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.

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