DMTCS Proceedings, Discrete Random Walks, DRW'03

Font Size:  Small  Medium  Large

Individuals at the origin in the critical catalytic branching random walk

Valentin Topchii, Vladimir Vatutin

Abstract


A continuous time branching random walk on the lattice Z is considered in which individuals may produce children at the origin only. Assuming that the underlying random walk is symmetric and the offspring reproduction law is critical we prove a conditional limit theorem for the number of individuals at the origin.

Full Text: GZIP Compressed PostScript PostScript PDF original HTML abstract page

Valid XHTML 1.0 Transitional