Disorder and Critical Phenomena Through Basic Probability Models - Ecole d'Ete de Probabilites de Saint-Flour XL - 2010 (Paperback, 2011 ed.)

Understanding the effect of disorder on critical phenomena is a central issue in statistical mechanics. In probabilistic terms: what happens if we perturb a system exhibiting a phase transition by introducing a random environment? The physics community has approached this very broad question by aiming at general criteria that tell whether or not the addition of disorder changes the critical properties of a model: some of the predictions are truly striking and mathematically challenging. We approach this domain of ideas by focusing on a specific class of models, the "pinning models," for which a series of recent mathematical works has essentially put all the main predictions of the physics community on firm footing; in some cases, mathematicians have even gone beyond, settling a number of controversial issues. But the purpose of these notes, beyond treating the pinning models in full detail, is also to convey the gist, or at least the flavor, of the "overall picture," which is, in many respects, unfamiliar territory for mathematicians.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 2025
Release date:	July 2011
First published:	2011
Authors:	Giambattista Giacomin
Dimensions:	235 x 155 x 7mm (L x W x T)
Format:	Paperback
Pages:	130
Edition:	2011 ed.
ISBN-13:	978-3-642-21155-3
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
LSN:	3-642-21155-0
Barcode:	9783642211553

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