Asymptotic Expansion of a Partition Function Related to the by Gaëtan Borot,Alice Guionnet,Karol K. Kozlowski PDF

By Gaëtan Borot,Alice Guionnet,Karol K. Kozlowski

This ebook elaborates at the asymptotic behaviour, while N is big, of sure N-dimensional integrals which generally happen in random matrices, or in 1+1 dimensional quantum integrable versions solvable via the quantum separation of variables. The creation offers the underpinning motivations for this challenge, a ancient review, and a precis of the method, that is appropriate in larger generality. The center goals at proving a ramification as much as o(1) for the logarithm of the partition functionality of the sinh-model. this is often accomplished by way of a mix of power thought and big deviation idea so that it will clutch the best asymptotics defined by means of an equilibrium degree, the Riemann-Hilbert method of truncated Wiener-Hopf which will examine the equilibrium degree, the Schwinger-Dyson equations and the boostrap way to ultimately receive a selection of correlation capabilities and the only of the partition functionality. This ebook is addressed to researchers operating in random matrices, statistical physics or integrable structures, or attracted to fresh advancements of asymptotic research in these fields.

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Asymptotic Expansion of a Partition Function Related to the Sinh-model (Mathematical Physics Studies) by Gaëtan Borot,Alice Guionnet,Karol K. Kozlowski

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