Global optimization, the Gaussian ensemble, and universal ensemble equivalence
Statistical Mechanics
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0605658,
title = {Global optimization, the Gaussian ensemble, and universal ensemble equivalence},
author = {M. Costeniuc and R. S. Ellis and H. Touchette and B. Turkington},
journal= {arXiv preprint arXiv:cond-mat/0605658},
year = {2007}
}
Comments
RevTeX4, 23 pages, 1 figure. Proc. MSRI Conference on Probability, Geometry, and Integrable Systems, December 2005