The central limit theorem for the right edge of supercritical oriented percolation (Q909360)

In studying the oriented percolation process in two dimensions (or the one-dimensional contact process), much information is contained in observations of the rightmost and leftmost particles. A central limit theorem for the rightmost particle in a supercritical contact process was proved by \textit{A. Galves} and \textit{E. Presutti} [ibid. 15, 1131-1145 (1987; Zbl 0645.60103)], and the present paper gives a simple proof of such a theorem in the case of oriented percolation. The idea is to find a sequence of points with regeneration-type properties, and hence to determine the growth law by the application of standard results.