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bio-polymer

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金币: 16922.3
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在线: 350.7小时
虫号: 112656

[资源] 【原创】介绍本书 Random Polymers

Random Polymers: École dÉté de Probabilités de Saint-Flour XXXVII 2007 (Lecture Notes in Mathematics / Ecole d'Eté Probabilit.Saint-Flour)
By Frank den Hollander

Publisher: Springer
Number Of Pages: 258
Publication Date: 2009-05-01
ISBN-10 / ASIN: 364200332X
ISBN-13 / EAN: 9783642003325

Product Description:

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.
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