177 citations · 906 across the 50 of their papers we have counts for
6 papers · 1 filter
Right tail expansion of Tracy-Widom beta laws
Gaëtan Borot, Céline Nadal
Using loop equations, we compute the large deviation function of the maximum eigenvalue to the right of the spectrum in the Gaussian beta matrix ensembles, to all orders in 1/N. We…
Purity distribution for generalized random Bures mixed states
Gaëtan Borot, Céline Nadal
We compute the distribution of the purity for random density matrices (i.e.random mixed states) in a large quantum system, distributed according to the Bures measure. The full dist…
Quelques problèmes de géométrie énumérative, de matrices aléatoires, d'intégrabilité, étudiés via la géometrie des surfaces de Riemann
Gaëtan Borot
Complex analysis is a powerful tool to study classical integrable systems, statistical physics on the random lattice, random matrix theory, topological string theory,... All these…
Geometry of Spectral Curves and All Order Dispersive Integrable System
Gaëtan Borot, Bertrand Eynard
We propose a definition for a Tau function and a spinor kernel (closely related to Baker-Akhiezer functions), where times parametrize slow (of order 1/N) deformations of an algebra…
Asymptotic expansion of beta matrix models in the one-cut regime
Gaëtan Borot, Alice Guionnet
We prove the existence of a 1/N expansion to all orders in beta matrix models with a confining, off-critical potential corresponding to an equilibrium measure with a connected supp…
A recursive approach to the O(n) model on random maps via nested loops
G. Borot, J. Bouttier, E. Guitter
We consider the O(n) loop model on tetravalent maps and show how to rephrase it into a model of bipartite maps without loops. This follows from a combinatorial decomposition that c…