Global optimization, the Gaussian ensemble, and universal ensemble equivalence

Details Global optimization, the Gaussian ensemble, and universal ensemble equivalence Global optimization, the Gaussian ensemble, and universal ensemble equivalence

2006-05-26

arxiv.org/abs/cond-mat/0605658v1

Physics

Condensed Matter

Statistical Mechanics

RevTeX4, 23 pages, 1 figure. Proc. MSRI Conference on Probability, Geometry, and Integrable Systems, December 2005

Scientific paper

Shortened abstract: Given a constrained minimization problem, under what conditions does there exist a related, unconstrained problem having the same minimum points? This basic question in global optimization motivates this paper, which answers it from the viewpoint of statistical mechanics. In this context, it reduces to the fundamental question of the equivalence and nonequivalence of ensembles, which is analyzed using the theory of large deviations and the theory of convex functions.

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