32 citations · 51 across the 14 of their papers we have counts for
4 papers · 1 filter
Unicellular maps vs hyperbolic surfaces in large genus: simple closed curves
Svante Janson, Baptiste Louf
We study uniformly random maps with a single face, genus , and size , as with , in continuation of several previous works on the geometric p…
Random generation and scaling limits of fixed genus factorizations into transpositions
Valentin Féray, Baptiste Louf, Paul Thévenin
We study the asymptotic behaviour of random factorizations of the -cycle into transpositions of fixed genus . They have a geometric interpretation as branched covers of the…
Short cycles in high genus unicellular maps
Svante Janson, Baptiste Louf
We study large uniform random maps with one face whose genus grows linearly with the number of edges, which are a model of discrete hyperbolic geometry. In previous works, several…
Large expanders in high genus unicellular maps
Baptiste Louf
We study large uniform random maps with one face whose genus grows linearly with the number of edges. They can be seen as a model of discrete hyperbolic geometry. In the past, seve…