| 书目名称 | Random Polymers | | 副标题 | École d’Été de Proba | | 编辑 | Frank Hollander | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .Polymer chains that interact with themselves and/or with their environment are fascinating objects, displaying a range of interesting physical and chemical phenomena. The focus in this monograph is on the mathematical description of some of these phenomena, with particular emphasis on phase transitions as a function of interaction parameters, associated critical behavior and space-time scaling. Topics include: self-repellent polymers, self-attracting polymers, polymers interacting with interfaces, charged polymers, copolymers near linear or random selective interfaces, polymers interacting with random substrate and directed polymers in random environment. Different techniques are exposed, including the method of local times, large deviations, the lace expansion, generating functions, the method of excursions, ergodic theory, partial annealing estimates, coarse-graining techniques and martingales. Thus, this monograph offers a mathematical panorama of polymer chains, which even today holds plenty of challenges.. | | 出版日期 | Book 2009 | | 关键词 | Ergodic theory; Martingale; large deviations; local time; phase transition; phase transitions; polymers; ra | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-00333-2 | | isbn_softcover | 978-3-642-00332-5 | | isbn_ebook | 978-3-642-00333-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2009 |
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发表于 2025-3-21 18:23:00
