3 papers
math.CO2026
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…
math.PR2025
Random trees with local catastrophes: the Brownian case
Ariane Carrance, Jérôme Casse, Nicolas Curien
We introduce and study a model of plane random trees generalizing the famous Bienaymé--Galton--Watson model but where births and deaths are locally correlated. More precisely, giv…
math.CO2025
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…