Authors:
Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1974)
Part of the book sub series: École d'Été de Probabilités de Saint-Flour (LNMECOLE)
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsThis is a preview of subscription content, access via your institution.
Table of contents (12 chapters)
-
Front Matter
-
Polymers with Self-Interaction
-
Front Matter
-
-
Polymers in Random Environment
-
Front Matter
-
-
Back Matter
About this book
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.
Keywords
- Ergodic theory
- Martingale
- large deviations
- local time
- phase transition
- phase transitions
- polymers
- random environment
- scaling
Reviews
Bibliographic Information
Book Title: Random Polymers
Book Subtitle: École d’Été de Probabilités de Saint-Flour XXXVII – 2007
Authors: Frank Hollander
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-00333-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Softcover ISBN: 978-3-642-00332-5Published: 14 May 2009
eBook ISBN: 978-3-642-00333-2Published: 09 April 2009
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIV, 266
Number of Illustrations: 84 b/w illustrations
Topics: Probability Theory, Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences, Solid Mechanics