Stochastic Processes and Random Matrices
  • Release Date : 15 August 2017
  • Publisher : Oxford University Press
  • Genre : Science
  • Pages : 432 pages
  • ISBN 13 : 9780192517869
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Download or read book entitled Stochastic Processes and Random Matrices by author: Grégory Schehr which was release on 15 August 2017 and published by Oxford University Press with total page 432 pages . This book available in PDF, EPUB and Kindle Format. The field of stochastic processes and Random Matrix Theory (RMT) has been a rapidly evolving subject during the last fifteen years. The continuous development and discovery of new tools, connections and ideas have led to an avalanche of new results. These breakthroughs have been made possible thanks, to a large extent, to the recent development of various new techniques in RMT. Matrix models have been playing an important role in theoretical physics for a long time and they are currently also a very active domain of research in mathematics. An emblematic example of these recent advances concerns the theory of growth phenomena in the Kardar-Parisi-Zhang (KPZ) universality class where the joint efforts of physicists and mathematicians during the last twenty years have unveiled the beautiful connections between this fundamental problem of statistical mechanics and the theory of random matrices, namely the fluctuations of the largest eigenvalue of certain ensembles of random matrices. This text not only covers this topic in detail but also presents more recent developments that have emerged from these discoveries, for instance in the context of low dimensional heat transport (on the physics side) or integrable probability (on the mathematical side).

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