| 書目名稱 | Disorder and Critical Phenomena Through Basic Probability Models | | 副標題 | école d’été de Proba | | 編輯 | Giambattista Giacomin | | 視頻video | http://file.papertrans.cn/282/281456/281456.mp4 | | 概述 | It develops the tools that allow a person with a probability background to access a large amount of theoretical physics literature..Recently developed mathematical techniques are explained in detail f | | 叢書名稱 | Lecture Notes in Mathematics | | 圖書封面 |  | | 描述 | 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. | | 出版日期 | Book 2011 | | 關鍵詞 | 82B44; 60K35; 60K37; 82B27; 60K05; 82D30; critical phenomena; disorder; localization; renewal processes; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-21156-0 | | isbn_softcover | 978-3-642-21155-3 | | isbn_ebook | 978-3-642-21156-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2011 |
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