11 citations · 11 across the 2 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.PR2016
Asymptotics for the Time of Ruin in the War of Attrition
Philip Ernst, Ilie Grigorescu
We consider two players, starting with and units, respectively. In each round, the winner is decided with probability proportional to each player's fortune, and the opponen…
math.PR2003
Behavior dominated by slow particles in a disordered asymmetric exclusion process
Ilie Grigorescu, Min Kang, Timo Seppalainen
We study the large space and time scale behavior of a totally asymmetric, nearest-neighbor exclusion process in one dimension with random jump rates attached to the particles. When…