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Ordered and unordered random partitions of an integer and the GEM distribution

โœ Scribed by Masaaki Sibuya; Hajime Yamato


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
361 KB
Volume
25
Category
Article
ISSN
0167-7152

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โœ F.Y. Wu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 421 KB

It is shown that the partition function of the q-state Potts model on a finite ddimensional hypercubic lattice in the q + 00 limit is precisely the generating function of (d -l)dimensional restricted partitions of an integer. For d = 2,3, this equivalence leads to closed-form expressions of the q =