Hardcover ISBN:  9781470422486 
Product Code:  PSPUM/91 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
Electronic ISBN:  9781470428839 
Product Code:  PSPUM/91.E 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 91; 2016; 471 ppMSC: Primary 60; 82; 05;
This book brings a reader to the cutting edge of several important directions of the contemporary probability theory, which in many cases are strongly motivated by problems in statistical physics. The authors of these articles are leading experts in the field and the reader will get an exceptional panorama of the field from the point of view of scientists who played, and continue to play, a pivotal role in the development of the new methods and ideas, interlinking it with geometry, complex analysis, conformal field theory, etc., making modern probability one of the most vibrant areas in mathematics.
ReadershipGraduate students and research mathematicians interested in recent developments in probability and statistical physics and random structures in mathematics.

Table of Contents

Articles

Yuri Bakhtin  Ergodic theory of the Burgers equation

Vincent Beffara and Hugo DuminilCopin  Critical point and duality in planar lattice models

Gérard Ben Arous and Alexander Fribergh  Biased random walks on random graphs

Alexei Borodin and Vadim Gorin  Lectures on integrable probability

Yinshan Chang and Yves Le Jan  Markov loops in discrete spaces

Alice Guionnet  Random matrices and the Potts model on random graphs

Júlia Komjáthy and Yuval Peres  Topics in Markov chains: Mixing and escape rate

Gregory F. Lawler  Random walk problems motivated by statistical physics

Grigori Olshanski  Markov dynamics on the dual object to the infinitedimensional unitary group

Mikhail Sodin  Lectures on random nodal portraits

A. Vershik  Smoothness and standardness in the theory of $AF$algebras and in the problem on invariant measures

Ofer Zeitouni  Branching random walks and Gaussian fields


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This book brings a reader to the cutting edge of several important directions of the contemporary probability theory, which in many cases are strongly motivated by problems in statistical physics. The authors of these articles are leading experts in the field and the reader will get an exceptional panorama of the field from the point of view of scientists who played, and continue to play, a pivotal role in the development of the new methods and ideas, interlinking it with geometry, complex analysis, conformal field theory, etc., making modern probability one of the most vibrant areas in mathematics.
Graduate students and research mathematicians interested in recent developments in probability and statistical physics and random structures in mathematics.

Articles

Yuri Bakhtin  Ergodic theory of the Burgers equation

Vincent Beffara and Hugo DuminilCopin  Critical point and duality in planar lattice models

Gérard Ben Arous and Alexander Fribergh  Biased random walks on random graphs

Alexei Borodin and Vadim Gorin  Lectures on integrable probability

Yinshan Chang and Yves Le Jan  Markov loops in discrete spaces

Alice Guionnet  Random matrices and the Potts model on random graphs

Júlia Komjáthy and Yuval Peres  Topics in Markov chains: Mixing and escape rate

Gregory F. Lawler  Random walk problems motivated by statistical physics

Grigori Olshanski  Markov dynamics on the dual object to the infinitedimensional unitary group

Mikhail Sodin  Lectures on random nodal portraits

A. Vershik  Smoothness and standardness in the theory of $AF$algebras and in the problem on invariant measures

Ofer Zeitouni  Branching random walks and Gaussian fields