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École d'Été de Probabilités de Saint-Flour

Directed Polymers in Random Environments

École d'Été de Probabilités de Saint-Flour XLVI – 2016

Authors: Comets, Francis

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  • 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

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  • ISBN 978-3-319-50487-2
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About this book

Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places particular emphasis on the localization phenomenon. The main questionis: 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 monograph is aimed at researchers in probability or statistical physics, but is also accessible to masters and Ph.D. students.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-50487-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-50486-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Directed Polymers in Random Environments
Book Subtitle
École d'Été de Probabilités de Saint-Flour XLVI – 2016
Authors
Series Title
École d'Été de Probabilités de Saint-Flour
Series Volume
2175
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-50487-2
DOI
10.1007/978-3-319-50487-2
Softcover ISBN
978-3-319-50486-5
Series ISSN
0721-5363
Edition Number
1
Number of Pages
XVI, 199
Number of Illustrations
18 b/w illustrations, 2 illustrations in colour
Topics