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Lecture Notes in Mathematics

Random Walks, Random Fields, and Disordered Systems

Authors: Bovier, A., Brydges, D., Coja-Oghlan, A., Ioffe, D., Lawler, G.F.

Editors: Biskup, Marek, Černý, Jiří, Kotecky, Roman (Eds.)

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  • ISBN 978-3-319-19339-7
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About this book

Focusing on the mathematics that lies at the intersection of probability theory, statistical physics, combinatorics and computer science, this volume collects together lecture notes on recent developments in the area. The common ground of these subjects is perhaps best described by the three terms in the title: Random Walks, Random Fields and Disordered Systems. The specific topics covered include a study of Branching Brownian Motion from the perspective of disordered (spin-glass) systems, a detailed analysis of weakly self-avoiding random walks in four spatial dimensions via methods of field theory and the renormalization group, a study of phase transitions in disordered discrete structures using a rigorous version of the cavity method, a survey of recent work on interacting polymers in the ballisticity regime and, finally, a treatise on two-dimensional loop-soup models and their connection to conformally invariant systems and the Gaussian Free Field. The notes are aimed at early graduate students with a modest background in probability and mathematical physics, although they could also be enjoyed by seasoned researchers interested in learning about recent advances in the above fields.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-319-19339-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-319-19338-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Random Walks, Random Fields, and Disordered Systems
Authors
Editors
  • Marek Biskup
  • Jiří Černý
  • Roman Kotecky
Series Title
Lecture Notes in Mathematics
Series Volume
2144
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-19339-7
DOI
10.1007/978-3-319-19339-7
Softcover ISBN
978-3-319-19338-0
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIII, 239
Number of Illustrations
11 b/w illustrations, 3 illustrations in colour
Topics