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.
Ann. Probab.
6(3):
398-403
(June, 1978).
DOI: 10.1214/aop/1176995526
