Overview
- Combines tools from potential theory, large deviations, Schwinger-Dyson equations, and Riemann-Hilbert techniques, and presents them in the same framework
- Derives all concepts and results from scratch and with a sufficient level of detail so as to allow also the non-specialist to follow them
- Enriches the technical background of the interested reader
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathematical Physics Studies (MPST)
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Table of contents (6 chapters)
Keywords
About this book
Reviews
Authors and Affiliations
About the authors
Alice Guionnet is Director of research CNRS at École Normale Supérieure (ENS) Lyon, from MIT where she served as a professor in 2012-2015. She received the MS from ENS Paris in 1993 and the PhD, under the guidance of G. Ben Arous at Université Paris Sud in 1995.
A. Guionnet is a world leading probabilist, working on a program related to operator algebra theory and mathematical physics.
She has made important contributions in random matrix theory,including large deviations, topological expansions, but also more classical study of their spectrum and eigenvectors. From 2006-2011 she served as Editor-in-Chief of Annales de L’Institut Henri Poincaré (currently on its editorial board), and also serves on the editorial board of Annals of Probability.
She has given two Plenary talks and a number of Invited Talks at international meetings, including ICM. Her distinctions include the Miller Institute Fellowship, (2006), the Loève Prize (2009), the Silver Medal of CNRS (2010) and Simon Investigator (2012).
Karol Kajetan Kozlowski is a CNRS Chargé de recherche at the École Normale Supérieure (ENS) Lyon.
He graduated from ENS-Lyon in 2005 and did his PhD at the Laboratoire Physique of ENS-Lyon. He was then a post-doctoral fellow at the Deutsches Elektronen-Synchrotron. His main research interest concern quantum integrable models and various aspects of asymptotic analysis.
Bibliographic Information
Book Title: Asymptotic Expansion of a Partition Function Related to the Sinh-model
Authors: Gaëtan Borot, Alice Guionnet, Karol K. Kozlowski
Series Title: Mathematical Physics Studies
DOI: https://doi.org/10.1007/978-3-319-33379-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-33378-6Published: 16 December 2016
Softcover ISBN: 978-3-319-81499-5Published: 04 July 2018
eBook ISBN: 978-3-319-33379-3Published: 08 December 2016
Series ISSN: 0921-3767
Series E-ISSN: 2352-3905
Edition Number: 1
Number of Pages: XV, 222
Number of Illustrations: 4 b/w illustrations
Topics: Mathematical Physics, Probability Theory and Stochastic Processes, Potential Theory, Complex Systems, Mathematical Methods in Physics, Statistical Physics and Dynamical Systems