4 papers
Very high genus double Hurwitz numbers via mixing times
Baptiste Louf, Lucas Teyssier
We obtain very high genus asymptotics for double Hurwitz numbers when both the size and the genus go to infinity, under the constraint that grows much faster than ,…
High genus one part monotone Hurwitz numbers
Simon Barazer, Baptiste Louf
We obtain bivariate asymptotics for one part monotone Hurwitz numbers in high genus (i.e. as both the size and the genus go to infinity). To do so, we start with a linear recurrenc…
The Ising model on cubic maps: arbitrary genus
Mireille Bousquet-Mélou, Ariane Carrance, Baptiste Louf
We design a recursive algorithm to compute the partition function of the Ising model, summed over cubic maps with fixed size and genus. The algorithm runs in polynomial time, which…
Slit-slide-sew bijections for oriented planar maps
Jérémie Bettinelli, Éric Fusy, Baptiste Louf
We construct growth bijections for bipolar oriented planar maps and for Schnyder woods. These give direct combinatorial proofs of several counting identities for these objects. Our…