This article is cited in 15 papers

The Wulff construction in statistical mechanics and combinatorics

S. B. Shlosman<sup>ab

a</sup> CNRS – Center of Theoretical Physics
^b Institute for Information Transmission Problems, Russian Academy of Sciences

Abstract: Geometric solutions are presented for some variational problems of statistical mechanics and combinatorics, and the Wulff construction predicting crystal shapes is discussed along with a construction determining the shape of a typical Young diagram and a typical skyscraper.

UDC: 531.19

MSC: Primary 49Q20, 82D25; Secondary 82B44, 74N05, 74N20

Received: 26.01.2001

DOI: 10.4213/rm417

 English version: Russian Mathematical Surveys, 2001, 56:4, 709–738

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