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Clay Mathematics Proceedings Ser.: Probability and Statistical Physics in Two and More Dimensions by Charles Newman (2012, Trade Paperback)

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Product Identifiers

PublisherAmerican Mathematical Society
ISBN-100821868632
ISBN-139780821868638
eBay Product ID (ePID)117177351

Product Key Features

Number of Pages410 Pages
Publication NameProbability and Statistical Physics in Two and more Dimensions
LanguageEnglish
SubjectMechanics / General, Probability & Statistics / General
Publication Year2012
TypeTextbook
Subject AreaMathematics, Science
AuthorCharles Newman
SeriesClay Mathematics Proceedings Ser.
FormatTrade Paperback

Dimensions

Item Height1 in
Item Weight28.6 Oz
Item Length10.2 in
Item Width7.2 in

Additional Product Features

Intended AudienceScholarly & Professional
LCCN2012-017930
Dewey Edition23
Series Volume Number15
IllustratedYes
Dewey Decimal519.2
Table Of ContentV. Beffara, Schramm-Loewner evolution and other conformally invariant objects; C. Garban and J. E. Steif, Noise sensitivity and percolation; J.-F. Le Gall and G. Miermont, Scaling limits of random trees and planar maps; H. Duminil-Copin and S. Smirnov, Conformal invariance of lattice models; G. F. Lawler, Fractal and multifractal properties of Schramm-Loewner evolution; F. Caravenna, F. Den Hollander, and N. Petrelis, Lectures on random polymers; R. Bauerschmidt, H. Duminil-Copin, J. Goodman, and G. Slade, Lectures on self-avoiding walks.
SynopsisThis volume is a collection of lecture notes for six of the ten courses given in Buzios, Brazil by prominent probabilists at the 2010 Clay Mathematics Institute Summer School, ''Probability and Statistical Physics in Two and More Dimensions'' and at the XIV Brazilian School of Probability. In the past ten to fifteen years, various areas of probability theory related to statistical physics, disordered systems and combinatorics have undergone intensive development. A number of these developments deal with two-dimensional random structures at their critical points, and provide new tools and ways of coping with at least some of the limitations of Conformal Field Theory that had been so successfully developed in the theoretical physics community to understand phase transitions of two-dimensional systems. Included in this selection are detailed accounts of all three foundational courses presented at the Clay school--Schramm-Loewner Evolution and other Conformally Invariant Objects, Noise Sensitivity and Percolation, Scaling Limits of Random Trees and Planar Maps--together with contributions on Fractal and Multifractal properties of SLE and Conformal Invariance of Lattice Models. Finally, the volume concludes with extended articles based on the courses on Random Polymers and Self-Avoiding Walks given at the Brazilian School of Probability during the final week of the school. Together, these notes provide a panoramic, state-of-the-art view of probability theory areas related to statistical physics, disordered systems and combinatorics. Like the lectures themselves, they are oriented towards advanced students and postdocs, but experts should also find much of interest., Provides a collection of lecture notes for six of the ten courses given by prominent probabilists at the 2010 Clay Mathematics Institute Summer School, 'Probability and Statistical Physics in Two and More Dimensions' and at the XIV Brazilian School of Probability. Included are detailed accounts of all three foundational courses presented at the Clay school - Schramm-Loewner Evolution and other Conformally Invariant Objects, Noise Sensitivity and Percolation, Scaling Limits of Random Trees and Planar Maps.
LC Classification NumberQC174.85.P76C53 2010