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

dmtcs:3589 - Discrete Mathematics & Theoretical Computer Science, January 1, 2008, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science - https://doi.org/10.46298/dmtcs.3589
Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams

Authors: Uwe Schwerdtfeger 1

  • 1 Fakultät für Mathematik [Bielefeld]

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.

https://doi.org/10.46298/dmtcs.3589
Source: HAL:hal-01194666v1
Volume: DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science
Section: Proceedings
Published on: January 1, 2008
Imported on: May 10, 2017
Keywords: plane partition,partition,Ferrers diagram,limit law,combinatorial probability,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]

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