Gaëtan Borot

(Author)

Asymptotic Expansion of a Partition Function Related to the Sinh-Model (2016)Hardcover - 2016, 16 December 2016

Asymptotic Expansion of a Partition Function Related to the Sinh-Model (2016)
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Part of Series
Mathematical Physics Studies
Print Length
222 pages
Language
English
Publisher
Springer
Date Published
16 Dec 2016
ISBN-10
331933378X
ISBN-13
9783319333786

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:
2016
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
16 December 2016
Dimensions:
23.39 x 15.6 x 1.42 cm
ISBN-10:
331933378X
ISBN-13:
9783319333786
Language:
English
Location:
Cham
Pages:
222
Publisher:
Weight:
512.56 gm

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