Disorder and Critical Phenomena Through Basic Probability Models : École d Été de Probabilités de Saint-Flour XL 2010
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 aimi...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلف مشترك: | |
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2011. |
| سلاسل: | Ecole d'Eté de Probabilités de Saint-Flour
40 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
L'impression du document génère 139 p Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Disorder and critical phenomena through basic probability models, École d'été de probabilités de Saint-Flour XL-2010, Giambattista Giacomin, Heidelberg, Springer, 2011, 1 vol. (XI-130 p.), Lecture notes in mathematics, 978-3-642-21155-3 |
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| 100 | 1 | |a Giacomin, Giambattista, |d 19..-...., |c Mathématicien. | |
| 245 | 1 | 0 | |a Disorder and Critical Phenomena Through Basic Probability Models : |b École d Été de Probabilités de Saint-Flour XL 2010 |c Giambattista Giacomin. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Ecole d'Eté de Probabilités de Saint-Flour |v 40 | |
| 500 | |a L'impression du document génère 139 p | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Notes bibliogr. Index | ||
| 505 | 1 | |a 1 Introduction 2 Homogeneous pinning systems: a class of exactly solved models 3 Introduction to disordered pinning models 4 Irrelevant disorder estimates 5 Relevant disorder estimates: the smoothing phenomenon 6 Critical point shift: the fractional moment method 7 The coarse graining procedure 8 Path properties | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Probabilités | ||
| 650 | |a Phénomènes critiques (physique) | ||
| 650 | |a Mécanique statistique |x Modèles mathématiques | ||
| 650 | |a Ordre et désordre (physique) | ||
| 650 | |a Processus stochastiques | ||
| 650 | |a Mathématiques | ||
| 650 | |a Matière |x Structure | ||
| 650 | |a Physique mathématique | ||
| 650 | |a Actes de congrès | ||
| 711 | 2 | |a École d'été de probabilités de Saint-Flour |n (40 |d :2010 |c :Saint-Flour, Cantal). |4 aut | |
| 776 | 0 | |0 155007106 |t Disorder and critical phenomena through basic probability models |o École d'été de probabilités de Saint-Flour XL-2010 |f Giambattista Giacomin |c Heidelberg |n Springer |d 2011 |p 1 vol. (XI-130 p.) |s Lecture notes in mathematics |z 978-3-642-21155-3 | |
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