ENGLISH

Random Polymers: École d¿Été de Probabilités de Saint-Flour XXXVII ¿ 2007

By Frank Hollander (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2009
ISBN
364200332X, 9783642003325, 9783642003332
DOI
10.1007/978-3-642-00333-2
Open Library ID
OL23742517M
Language
english
Format
PDF
Filesize
4 MB (4016506 bytes)
Series
Lecture Notes in Mathematics 1974
Edition
1
Pages
266\279
Time added
2011-06-04 13:46:07
Chemistry and Earth Sciences; Probability Theory aComputer SciencePhysicsStructural Mechanics; Statistics for Engineering

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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