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 e-book elaborates at the asymptotic behaviour, whilst N is big, of sure N-dimensional integrals which usually take place in random matrices, or in 1+1 dimensional quantum integrable types solvable by way of the quantum separation of variables. The creation provides the underpinning motivations for this challenge, a old assessment, and a precis of the method, that's appropriate in higher 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 completed through a mix of power concept and big deviation idea with a view to snatch the best asymptotics defined by means of an equilibrium degree, the Riemann-Hilbert method of truncated Wiener-Hopf so one can examine the equilibrium degree, the Schwinger-Dyson equations and the boostrap way to eventually receive a selection 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 platforms, or drawn to contemporary advancements of asymptotic research in these fields.

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