29 citations · 119 across the 32 of their papers we have counts for
5 papers · 2 filters
Growing uniform planar maps face by face
Alessandra Caraceni, Alexandre Stauffer
We provide "growth schemes" for inductively generating uniform random -angulations of the sphere with faces, as well as uniform random simple triangulations of the sphere w…
First passage percolation in hostile environment is not monotone
Elisabetta Candellero, Alexandre Stauffer
We study a natural growth process with competition, modeled by two first passage percolation processes, and , spreading on a graph. starts at the origin and…
Coexistence in competing first passage percolation with conversion
Thomas Finn, Alexandre Stauffer
We introduce a two-type first passage percolation competition model on infinite connected graphs as follows. Type 1 spreads through the edges of the graph at rate 1 from a single d…
Absorbing-state phase transition and activated random walks with unbounded capacities
Leandro Chiarini, Alexandre Stauffer
In this article, we study the existence of an absorbing-state phase transition of an Abelian process that generalises the Activated Random Walk (ARW). Given a vertex transitive $G=…
Local and global survival for infections with recovery
Rangel Baldasso, Alexandre Stauffer
We establish two open problems from Kesten and Sidoravicius [8]. Particles are initially placed on with a given density and evolve as independent continuous-time random wa…