Erdős, Paul; Ney, P. Some problems on random intervals and annihilating particles. (English) Zbl 0297.60052 Ann. Probab. 2, 828-839 (1974). Particles perform independent random walks on the integers, and are annihilated if they cross paths or land at the same point. The problem is to determine whether the origin is hit infinitely often. The answer is shown to depend on the initial distribution of particles in accordance with a “log log law”. Several equivalent models are mentioned. Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 15 Documents MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 60G50 Sums of independent random variables; random walks 60C05 Combinatorial probability PDF BibTeX XML Cite \textit{P. Erdős} and \textit{P. Ney}, Ann. Probab. 2, 828--839 (1974; Zbl 0297.60052) Full Text: DOI OpenURL