Authors:
- The first book to be devoted to this active field of research in probability and statistical physics
- Aimed at experienced researchers, but also accessible to masters and Ph.D. students
- Authored by a leading expert in the subject
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2175)
Part of the book sub series: École d'Été de Probabilités de Saint-Flour (LNMECOLE)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
is: What does the path of a random walk look like if rewards and penalties are spatially randomly distributed?
This model, which provides a simplified version of stretched elastic chains pinned by random impurities, has attracted much research activity, but it (and its relatives) still holds many secrets, especially in high dimensions. It has non-gaussian scaling limits and it belongs to the so-called KPZ universality class when the space is one-dimensional. Adopting a Gibbsian approach, using general and powerful tools from probability theory, the discrete model is studied in full generality.
Presenting the state-of-the art from different perspectives, and written in the form of a first course on the subject, this monographis aimed at researchers in probability or statistical physics, but is also accessible to masters and Ph.D. students.
Authors and Affiliations
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Mathematics, case 7012, Université Paris Diderot - Paris 7, Paris, France
Francis Comets
Bibliographic Information
Book Title: Directed Polymers in Random Environments
Book Subtitle: École d'Été de Probabilités de Saint-Flour XLVI – 2016
Authors: Francis Comets
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-50487-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Softcover ISBN: 978-3-319-50486-5Published: 01 February 2017
eBook ISBN: 978-3-319-50487-2Published: 26 January 2017
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVI, 199
Number of Illustrations: 18 b/w illustrations, 2 illustrations in colour
Topics: Probability Theory and Stochastic Processes, Statistical Physics and Dynamical Systems