28 citations · 44 across the 3 of their papers we have counts for
3 papers
math.PR2018★ 11 cited
Phase transition for infinite systems of spiking neurons
P. A. Ferrari, A. Galves, I. Grigorescu +1
We prove the existence of a phase transition for a stochastic model of interacting neurons. The spiking activity of each neuron is represented by a point process having rate w…
math.PR2002★ 28 cited
Poisson trees, succession lines and coalescing random walks
P. A. Ferrari, C. Landim, H. Thorisson
We give a deterministic algorithm to construct a graph with no loops (a tree or a forest) whose vertices are the points of a d-dimensional stationary Poisson process S, subset of R…
math.PR1999★ 5 cited
Rate of convergence to equilibrium of symmetric simple exclusion processes
P. A. Ferrari, A. Galves, C. Landim
We give bounds on the rate of convergence to equilibrium of the symmetric simple exclusion process in . Our results include the existent results in the literature. We get bet…