2 citations · 3 across the 5 of their papers we have counts for
6 papers
Limits of descent-biased trees
Victor Dubach, Paul Thévenin, Stephan Wagner
We investigate scaling and local limits of random trees biased according to their number of descents. A descent in a rooted labeled tree is a parent-child pair such that the la…
Local limits of descent-biased permutations and trees
Paul Thévenin, Stephan Wagner
We study two related probabilistic models of permutations and trees biased by their number of descents. Here, a descent in a permutation is a pair of consecutive elements $σ(i)…
Critical exponential tiltings for size-conditioned multitype Bienaymé--Galton--Watson trees
Paul Thévenin
We consider here multitype Bienaymé--Galton--Watson trees, under the conditioning that the numbers of vertices of given type satisfy some linear relations. We prove that, under som…
Concatenating Random Matchings
Fabian Burghart, Paul Thévenin
We consider the concatenation of uniformly random perfect matchings on vertices, where the operation of concatenation is inspired by the multiplication of generators of th…
Central limit theorem for components in meandric systems through high moments
Svante Janson, Paul Thévenin
We investigate here the behaviour of a large typical meandric system, proving a central limit theorem for the number of components of given shape. Our main tool is a theorem of Gao…
Coupling Bertoin's and Aldous-Pitman's representations of the additive coalescent
Igor Kortchemski, Paul Thévenin
We construct a coupling between two seemingly very different constructions of the standard additive coalescent, which describes the evolution of masses merging pairwise at rates pr…