Probability and Statistical Physics in St. Petersburg
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Probability and Statistical Physics in St. Petersburg

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Description

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.
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Product details

  • Hardback | 478 pages
  • 178 x 254 x 31.75mm | 970.69g
  • Providence, United States
  • English
  • 1470422484
  • 9781470422486

Table of contents

Ergodic theory of the Burgers equation by Y. Bakhtin
Critical point and duality in planar lattice models by V. Beffara and H. Duminil-Copin
Biased random walks on random graphs by G. Ben Arous and A. Fribergh
Lectures on integrable probability by A. Borodin and V. Gorin
Markov loops in discrete spaces by Y. Chang and Y. Le Jan
Random matrices and the Potts model on random graphs by A. Guionnet
Topics in Markov chains: Mixing and escape rate by J. Komjathy and Y. Peres
Random walk problems motivated by statistical physics by G. F. Lawler
Markov dynamics on the dual object to the infinite-dimensional unitary group by G. Olshanski
Lectures on random nodal portraits by M. Sodin
Smoothness and standardness in the theory of $Af$-algebras and in the problem on invariant measures by A. Vershik
Branching random walks and Gaussian fields by O. Zeitouni
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About Vladas Sidoravicius

V. Sidoravicius, Courant Institute, New York, NY, and New York University - Shanghai, China.

S. Smirnov, University of Geneva, Switzerland, and St. Petersburg State University, Russia.
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