Asymptotic expansion of $\beta $ matrix models in the multi-cut regime

We establish the asymptotic expansion in $\beta $ matrix models with a confining, off-critical potential in the regime where the support of the equilibrium measure is a finite union of segments. We first address the case where the filling fractions of these segments are fixed and show the exi...

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Bibliographic Details
Main Authors: Gaëtan Borot, Alice Guionnet
Format: Article
Language:English
Published: Cambridge University Press 2024-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509423001299/type/journal_article