51 citations · 78 across the 6 of their papers we have counts for
6 papers
Enumeration of plane hypermaps with a mixed boundary I
Jérémie Bouttier, Bertrand Eynard, Thomas Lejeune
Plane hypermaps are plane maps endowed with a proper coloration of their inner faces in black or white. We consider the problem of enumerating plane hypermaps with prescribed face…
Enumeration of general planar hypermaps with an alternating boundary
Valentin Baillard, Ariane Carrance, Bertrand Eynard
In this paper, we extend the enumerative study of planar hypermaps with an alternating boundary introduced in an earlier work of Bouttier and the second author. In that article, an…
The factorial growth of topological recursion
Gaëtan Borot, Bertrand Eynard, Alessandro Giacchetto
We show that the -point, genus- correlation functions of topological recursion on any regular spectral curve with simple ramifications grow at most like as $g…
Resurgent large genus asymptotics of intersection numbers
Bertrand Eynard, Elba Garcia-Failde, Alessandro Giacchetto +2
In this paper, we present a novel approach for computing the large genus asymptotics of intersection numbers. Our strategy is based on a resurgent analysis of the -point functio…
Intersection numbers of spectral curves
B. Eynard
We compute the symplectic invariants of an arbitrary spectral curve with only 1 branchpoint in terms of integrals of characteristic classes in the moduli space of curves. Our formu…
All orders asymptotic expansion of large partitions
Bertrand Eynard
The generating function which counts partitions with the Plancherel measure (and its q-deformed version), can be rewritten as a matrix integral, which allows to compute its asympto…