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The lattice of integer partitions and its infinite extension

✍ Scribed by Matthieu Latapy; Thi Ha Duong Phan


Book ID
108114007
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
963 KB
Volume
309
Category
Article
ISSN
0012-365X

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The infinite-state potts model and restr
✍ F.Y. Wu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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 =