20 citations · 44 across the 24 of their papers we have counts for
5 papers · 1 filter
Local convergence of random planar graphs
Benedikt Stufler
The present work describes the asymptotic local shape of a graph drawn uniformly at random from all connected simple planar graphs with n labelled vertices. We establish a novel un…
Rerooting multi-type branching trees: the infinite spine case
Benedikt Stufler
We prove local convergence results of rerooted conditioned multi-type Galton--Watson trees. The limit objects are multitype variants of the random sin-tree constructed by Aldous (1…
Graphon convergence of random cographs
Benedikt Stufler
We study the behaviour of random labelled and unlabelled cographs with n vertices as n tends to infinity. Our main result is a novel probabilistic limit in the space of graphons.
A decorated tree approach to random permutations in substitution-closed classes
Jacopo Borga, Mathilde Bouvel, Valentin Féray +1
We establish a novel bijective encoding that represents permutations as forests of decorated (or enriched) trees. This allows us to prove local convergence of uniform random permut…
On the maximal offspring in a subcritical branching process
Benedikt Stufler
We consider a subcritical Galton--Watson tree conditioned on having vertices with outdegree in a fixed set . Under mild regularity assumptions we prove various limits relate…