18 citations · 20 across the 4 of their papers we have counts for
4 papers · 1 filter
Long range trap models on Z and quasistable processes
W. Barreto-Souza, L. R. G. Fontes
Let be a mean zero -stable random walk on with inhomogeneous jump rates , wi…
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…
Convergence of symmetric trap models in the hypercube
L. R. G. Fontes, P. H. S. Lima
We consider symmetric trap models in the d-dimensional hypercube whose ordered mean waiting times, seen as weights of a measure in the natural numbers, converge to a finite measure…
Density-Profile Processes Describing Biological Signaling Networks: Almost Sure Convergence to Deterministic Trajectories
Roberto Fernández, Luiz Renato Fontes, E. Jordão Neves
We introduce jump processes in R^k, called density-profile process, to model biological signaling networks. They describe the macroscopic evolution of finite-size spin-flip models…