On Hitting Probabilities for an Annihilating Particle Model
Schwartz, Diane
Ann. Probab., Tome 6 (1978) no. 6, p. 398-403 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Erdos and Ney introduced a discrete time annihilating particle model on the integer lattice and conjectured that, starting from an initial state of a particle at each lattice site except the origin, the probability a particle ever hits the origin is 1. This paper proves this conjecture for the continuous time version of their model.
Publié le : 1978-06-14
Classification:  Interacting particle systems,  annihilation,  60K35 
@article{1176995526,
     author = {Schwartz, Diane},
     title = {On Hitting Probabilities for an Annihilating Particle Model},
     journal = {Ann. Probab.},
     volume = {6},
     number = {6},
     year = {1978},
     pages = { 398-403},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176995526}
}

Schwartz, Diane. On Hitting Probabilities for an Annihilating Particle Model. Ann. Probab., Tome 6 (1978) no. 6, pp.  398-403. http://gdmltest.u-ga.fr/item/1176995526/