Download 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 booklet elaborates at the asymptotic behaviour, while N is huge, of definite N-dimensional integrals which usually ensue in random matrices, or in 1+1 dimensional quantum integrable versions solvable via the quantum separation of variables. The advent provides the underpinning motivations for this challenge, a ancient assessment, and a precis of the method, that is acceptable in larger generality. The center goals at proving a selection as much as o(1) for the logarithm of the partition functionality of the sinh-model. this can be accomplished via a mixture of capability conception and big deviation idea in an effort to snatch the prime asymptotics defined by means of an equilibrium degree, the Riemann-Hilbert method of truncated Wiener-Hopf for you to examine the equilibrium degree, the Schwinger-Dyson equations and the boostrap way to eventually receive a spread of correlation capabilities and the single of the partition functionality. This e-book is addressed to researchers operating in random matrices, statistical physics or integrable structures, or attracted to contemporary advancements of asymptotic research in these fields.

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