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Probability and Statistical Physics in Two and More Dimensions
 
Edited by: David Ellwood Clay Mathematics Institute, Cambridge, MA
Charles Newman Courant Institute, New York University, New York, NY
Vladas Sidoravicius IMPA, Rio de Janeiro, Brazil
Wendelin Werner Ecole Normale Supérieure, Paris, France and Université Paris-Sud, Orsay, France
A co-publication of the AMS and Clay Mathematics Institute
Probability and Statistical Physics in Two and More Dimensions
Softcover ISBN:  978-0-8218-6863-8
Product Code:  CMIP/15
List Price: $128.00
MAA Member Price: $115.20
AMS Member Price: $102.40
Probability and Statistical Physics in Two and More Dimensions
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Probability and Statistical Physics in Two and More Dimensions
Edited by: David Ellwood Clay Mathematics Institute, Cambridge, MA
Charles Newman Courant Institute, New York University, New York, NY
Vladas Sidoravicius IMPA, Rio de Janeiro, Brazil
Wendelin Werner Ecole Normale Supérieure, Paris, France and Université Paris-Sud, Orsay, France
A co-publication of the AMS and Clay Mathematics Institute
Softcover ISBN:  978-0-8218-6863-8
Product Code:  CMIP/15
List Price: $128.00
MAA Member Price: $115.20
AMS Member Price: $102.40
  • Book Details
     
     
    Clay Mathematics Proceedings
    Volume: 152012; 467 pp
    MSC: Primary 60; 82;

    This volume is a collection of lecture notes for six of the ten courses given in Búzios, 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.

    Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

    Readership

    Graduate students and research mathematicians interested in probability and statistical physics.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 152012; 467 pp
MSC: Primary 60; 82;

This volume is a collection of lecture notes for six of the ten courses given in Búzios, 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.

Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

Readership

Graduate students and research mathematicians interested in probability and statistical physics.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.