Geometric variational problems of statistical mechanics and of combinatorics

Authors
Shlosman, S
Citation
S. Shlosman, Geometric variational problems of statistical mechanics and of combinatorics, J MATH PHYS, 41(3), 2000, pp. 1364-1370
Citations number
18
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
3
Year of publication
2000
Pages
1364 - 1370
Database
ISI
SICI code
0022-2488(200003)41:3<1364:GVPOSM>2.0.ZU;2-Q
Abstract
We present the geometric solutions of the various extremal problems of stat istical mechanics and combinatorics. Together with the Wulff construction, which predicts the shape of the crystals, we discuss the construction which exhibits the shape of a typical Young diagram and of a typical skyscraper. (C) 2000 American Institute of Physics. [S0022-2488(00)01203-2].