Gaëtan Borot

(Author)

Asymptotic Expansion of a Partition Function Related to the Sinh-Model (Softcover Reprint of the Original 1st 2016)Paperback - Softcover Reprint of the Original 1st 2016, 4 July 2018

Asymptotic Expansion of a Partition Function Related to the Sinh-Model (Softcover Reprint of the Original 1st 2016)
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Part of Series
Mathematical Physics Studies
Print Length
222 pages
Language
English
Publisher
Springer
Date Published
4 Jul 2018
ISBN-10
3319814990
ISBN-13
9783319814995

Description

This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greater generality. The core aims at proving an expansion up to o(1) for the logarithm of the partition function of the sinh-model. This is achieved by a combination of potential theory and large deviation theory so as to grasp the leading asymptotics described by an equilibrium measure, the Riemann-Hilbert approach to truncated Wiener-Hopf in order to analyse the equilibrium measure, the Schwinger-Dyson equations and the boostrap method to finally obtain an expansion of correlation functions and the one of the partition function. This book is addressed to researchers working in random matrices, statistical physics or integrable systems, or interested in recent developments of asymptotic analysis in those fields.

Product Details

Authors:
Gaëtan BorotAlice GuionnetKarol K Kozlowski
Book Edition:
Softcover Reprint of the Original 1st 2016
Book Format:
Paperback
Country of Origin:
NL
Date Published:
4 July 2018
Dimensions:
23.39 x 15.6 x 1.3 cm
ISBN-10:
3319814990
ISBN-13:
9783319814995
Language:
English
Location:
Cham
Pages:
222
Publisher:
Weight:
340.19 gm

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