3 papers
math.PR2026
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…
math.PR2023
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)…
math.PR2023
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…