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Книга Disorder and Critical Phenomena Through Basic Probability Models Giambattista Giacomin

Disorder and Critical Phenomena Through Basic Probability Models

École d Été de Probabilités de Saint-Flour XL 2010

Автор: Giambattista Giacomin
Език: Английски език
Корици: С меки корици
Издател: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Наличност: Външен склад
Изпращаме след 5-8 дни
36.22 € 70.84 лв
Understanding the effect of disorder on critical phenomena is a central issue in statistical mechani...

Информация за книгата

Автор
Giambattista Giacomin
Език
Английски език
Корици
Книга - С меки корици
Издадена
2011
страници
130
EAN
9783642211553
ISBN
3642211550
Enbook ID
01658020
Издател
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Теглоt
231
Размери
155 x 235 x 9

Пълно описание

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.

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