Asymptotic expansions of some Toeplitz determinants via the topological recursion

Up to now, the only examples of quantum curves obtained from a classical spectral curve of genus 0 with interior points in its Newton polytope were given by the Painlevé

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

In this section we first recall the concepts of power and interaction indexes in- troduced in cooperative game theory and how the Banzhaf index can be obtained from the solution of

It is based on the study of the convergence of Fourier coefficients (presented in the second part of the paper) and then according to the previous result the domain of convergence

This assumption seems natural when a perturbation viewpoint and Borel summation are considered: it is also used in the proof of Borel summability of the small time expansion of the

The theorem 2 also gives us that the inverse found for the fractional Laplacian of order α defined on an interval is not the Riesz operator of order −α on the same interval, there is

Asymptotic of the terms of the Gegenbauer polynomial on the unit circle and applications to the inverse of Toeplitz matrices... In a first part we are interested in the asymptotic

Les entérobactéries sont de plus en plus résistantes aux antibiotiques et l’augmentation de l’incidence des infections liées à des entérobactéries productrices