G
Gaëtan Borot
Researcher at Max Planck Society
Publications - 78
Citations - 2213
Gaëtan Borot is an academic researcher from Max Planck Society. The author has contributed to research in topics: Asymptotic expansion & Hermitian matrix. The author has an hindex of 26, co-authored 76 publications receiving 1969 citations. Previous affiliations of Gaëtan Borot include University of Geneva & Massachusetts Institute of Technology.
Papers
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Asymptotic expansion of beta matrix models in the one-cut regime
Gaëtan Borot,Alice Guionnet +1 more
TL;DR: In this article, the existence of a 1/N expansion to all orders in a general beta matrix model with a confining, off-critical potential corresponding to an equilibrium measure with a connected support was proved.
Journal ArticleDOI
Asymptotic Expansion of β Matrix Models in the One-cut Regime
Gaëtan Borot,Alice Guionnet +1 more
TL;DR: In this paper, the existence of a 1/N expansion to all orders in β matrix models with a confining, offcritical potential corresponding to an equilibrium measure with a connected support was proved.
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A matrix model for simple Hurwitz numbers, and topological recursion
TL;DR: In this paper, a new matrix model representation for the generating function of simple Hurwitz numbers was introduced and the spectral curve of the model and the associated symplectic invariants developed in Eynard and Orantin (2007) were calculated.
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Large deviations of the maximal eigenvalue of random matrices
TL;DR: In this article, the authors presented detailed computations of the nondecaying terms (three dominant orders) of the free energy in a one-cut matrix model with a hard edge a, in β ensembles, with any polynomial potential.
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Asymptotic expansion of beta matrix models in the multi-cut regime
Gaëtan Borot,Alice Guionnet +1 more
TL;DR: In this paper, the authors studied the all-order asymptotic expansion of the Toda chain with a confining, off-critical potential, in the regime where the support of the equilibrium measure is a reunion of segments.