16 citations · 27 across the 9 of their papers we have counts for
14 papers · 1 filter
First Passage Percolation with Recovery
Elisabetta Candellero, Tom Garcia-Sanchez
First passage percolation with recovery is a process aimed at modeling the spread of epidemics. On a graph place a red particle at a reference vertex and colorless particle…
Martin boundaries and asymptotic behavior of branching random walks
Daniela Bertacchi, Elisabetta Candellero, Fabio Zucca
Let be an infinite, locally finite graph. We investigate the relation between supercritical, transient branching random walk and the Martin boundary of its underlying random wa…
On the boundary at infinity for branching random walk
Elisabetta Candellero, Tom Hutchcroft
We prove that supercritical branching random walk on a transient graph converges almost surely under rescaling to a random measure on the Martin boundary of the graph. Several open…
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…
Abelian oil and water dynamics does not have an absorbing-state phase transition
Elisabetta Candellero, Alexandre Stauffer, Lorenzo Taggi
The oil and water model is an interacting particle system with two types of particles and a dynamics that conserves the number of particles, which belongs to the so-called class of…
Coexistence of competing first passage percolation on hyperbolic graphs
Elisabetta Candellero, Alexandre Stauffer
We study a natural growth process with competition, which was recently introduced to analyze MDLA, a challenging model for the growth of an aggregate by diffusing particles. The gr…
Coupling of Brownian motions in Banach spaces
Elisabetta Candellero, Wilfrid S. Kendall
Consider a separable Banach space supporting a non-trivial Gaussian measure . The following is an immediate consequence of the theory of Gaussian measure on Banac…
Percolation and isoperimetry on roughly transitive graphs
Elisabetta Candellero, Augusto Teixeira
In this paper we study percolation on a roughly transitive graph G with polynomial growth and isoperimetric dimension larger than one. For these graphs we are able to prove that p_…
Bootstrap percolation and the geometry of complex networks
Elisabetta Candellero, Nikolaos Fountoulakis
On a geometric model for complex networks (introduced by Krioukov et al.) we investigate the bootstrap percolation process. This model consists of random geometric graphs on the hy…
Oil and water: a two-type internal aggregation model
Elisabetta Candellero, Shirshendu Ganguly, Christopher Hoffman +1
We introduce a two-type internal DLA model which is an example of a non-unary abelian network. Starting with n "oil" and n "water" particles at the origin, the particles diffuse in…
The number of ends of critical branching random walks
Elisabetta Candellero, Matthew I. Roberts
We investigate the number of topological ends of the trace of branching random walk (BRW) on a graph, giving a sufficient condition for the trace to have infinitely many ends. We t…
Clustering and the hyperbolic geometry of complex networks
Elisabetta Candellero, Nikolaos Fountoulakis
Clustering is a fundamental property of complex networks and it is the mathematical expression of a ubiquitous phenomenon that arises in various types of self-organized networks su…
Branching Random Walks on Free Products of Groups
Elisabetta Candellero, Lorenz A. Gilch, Sebastian Müller
We study certain phase transitions of branching random walks (BRW) on Cayley graphs of free products. The aim of this paper is to compare the size and structural properties of the…
Phase Transitions for Random Walk Asymptotics on Free Products of Groups
Elisabetta Candellero, Lorenz A. Gilch
Suppose we are given finitely generated groups equipped with irreducible random walks. Thereby we assume that the expansions of the corresponding Green functions at t…