Uwe Schwerdtfeger
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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
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https://doi.org/10.46298/dmtcs.3589
Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams
Authors: Uwe Schwerdtfeger 1
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Uwe Schwerdtfeger
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.
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2 Documents citing this article
Source : OpenCitations
Geetha, H.; Thomas, D. G.; Kalyani, T.; Robinson, T., 2009, Recognizability Of Polyhexes By Tiling And Wang Systems, Advances In Visual Computing, pp. 568-577, 10.1007/978-3-642-10520-3_54.
Richard, Christoph, 2009, Limit Distributions And Scaling Functions, Polygons, Polyominoes And Polycubes, pp. 247-299, 10.1007/978-1-4020-9927-4_11.