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