Geometric variational problems of statistical mechanics and of combinatorics
arXiv:math-ph/0002035 · doi:10.1063/1.533191
Abstract
We present the geometric solutions of the various extremal problems of statistical 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.
10 pages