Global optimization, the Gaussian ensemble, and universal ensemble equivalence

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dc.creatorCosteniuc, M.
dc.creatorEllis, R. S.
dc.creatorTouchette, H.
dc.creatorTurkington, B.
dc.date2006-05-26
dc.date.accessioned2026-07-07T07:09:13Z
dc.date.available2026-07-07T07:09:13Z
dc.descriptionShortened 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.
dc.descriptionRevTeX4, 23 pages, 1 figure. Proc. MSRI Conference on Probability, Geometry, and Integrable Systems, December 2005
dc.identifierhttps://arxiv.org/abs/cond-mat/0605658
dc.identifierhttp://arxiv.org/abs/cond-mat/0605658
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110982
dc.subjectStatistical Mechanics
dc.titleGlobal optimization, the Gaussian ensemble, and universal ensemble equivalence
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