Baptiste Louf

collaborators

2 papers

math.PR2023★ 1 cited

Distances and isoperimetric inequalities in random triangulations of high genus

Thomas Budzinski, Guillaume Chapuy, Baptiste Louf

We prove that uniform random triangulations whose genus is proportional to their size $n$ have diameter of order $lo g n$ with high probability. We also show that in such triangula…

math.PR2021

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 $g$ , and size $n$ , as $n, g \to \infty$ with $g = o (n)$ , in continuation of several previous works on the geometric p…