Asymptotic Expansion of a Partition Function Related to the Sinh-model (Paperback, Softcover reprint of the original 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Mathematical Physics Studies
Release date:	July 2018
First published:	2016
Authors:	Gaetan Borot • Alice Guionnet • Karol K. Kozlowski
Dimensions:	235 x 155 x 13mm (L x W x T)
Format:	Paperback
Pages:	222
Edition:	Softcover reprint of the original 1st ed. 2016
ISBN-13:	978-3-319-81499-5
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics Promotions
LSN:	3-319-81499-0
Barcode:	9783319814995

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