Download e-book for iPad: Asymptotic Expansion of a Partition Function Related to the by Gaëtan Borot,Alice Guionnet,Karol K. Kozlowski

By Gaëtan Borot,Alice Guionnet,Karol K. Kozlowski

This publication elaborates at the asymptotic behaviour, while N is big, of convinced N-dimensional integrals which usually happen in random matrices, or in 1+1 dimensional quantum integrable types solvable by means of the quantum separation of variables. The advent offers the underpinning motivations for this challenge, a historic evaluate, and a precis of the method, that's acceptable in higher generality. The middle goals at proving a diffusion as much as o(1) for the logarithm of the partition functionality of the sinh-model. this can be completed via a mixture of capability idea and big deviation conception to be able to snatch the best asymptotics defined by way of an equilibrium degree, the Riemann-Hilbert method of truncated Wiener-Hopf with a view to examine the equilibrium degree, the Schwinger-Dyson equations and the boostrap approach to ultimately receive a spread of correlation services and the single of the partition functionality. This booklet is addressed to researchers operating in random matrices, statistical physics or integrable platforms, or drawn 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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