3 papers
math.PR2021
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…
math.PR2019
A geometric representation of fragmentation processes on stable trees
Paul Thévenin
We provide a new geometric representation of a family of fragmentation processes by nested laminations, which are compact subsets of the unit disk made of noncrossing chords. We sp…
math.PR2018
Vertices with fixed outdegrees in large Galton-Watson trees
Paul Thévenin
We are interested in nodes with fixed outdegrees in large conditioned Galton--Watson trees. We first study the scaling limits of processes coding the evolution of the number of suc…