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8 papers · 2 filters
Typical Gibbs configurations for the 1d Random Field Ising Model with long range interaction
Marzio Cassandro, Enza Orlandi, Pierre Picco
We study a one--dimensional Ising spin systems with ferromagnetic, long--range interaction decaying as $n^{-2+\a}$, $\a \in [0,\frac 12]$, in the presence of external random fields…
Phase transitions for the cavity approach to the clique problem on random graphs
Alexandre Gaudilliere, Benedetto Scoppola, Elisabetta Scoppola +1
We give a rigorous proof of two phase transitions for a disordered system designed to find large cliques inside Erdos random graphs. Such a system is associated with a conservative…
On the dynamics of trap models in Z^d
Luiz Renato Fontes, Pierre Mathieu
We consider trap models on Z^d, namely continuous time Markov jump process on Z^d with embedded chain given by a generic discrete time random walk, and whose mean waiting time at x…
Excited Brownian motions as limits of excited random walks
Olivier Raimond, Bruno Schapira
We obtain the convergence in law of a sequence of excited (also called cookies) random walks toward an excited Brownian motion. This last process is a continuous semi-martingale wh…
From logarithmic to subdiffusive polynomial fluctuations for internal DLA and related growth models
Amine Asselah, Alexandre Gaudilliere
We consider a cluster growth model on the d-dimensional lattice, called internal diffusion limited aggregation (internal DLA). In this model, random walks start at the origin, one…
Tightness for the interface of the one-dimensional contact process
Enrique Andjel, Thomas Mountford, Leandro P. R. Pimentel +1
We consider a symmetric, finite-range contact process with two types of infection; both have the same (supercritical) infection rate and heal at rate 1, but sites infected by Infec…