Publications [#243477] of Richard T. Durrett

Papers Published

1. Durrett, R; Perkins, EA, Rescaled contact processes converge to super-Brownian motion in two or more dimensions, Probability Theory and Related Fields, vol. 114 no. 3 (January, 1999), pp. 309-399, Springer Nature [doi]
   (last updated on 2024/04/24)

   Abstract:
   We show that in dimensions two or more a sequence of long range contact processes suitably rescaled in space and time converges to a super-Brownian motion with drift. As a consequence of this result we can improve the results of Bramson, Durrett, and Swindle (1989) by replacing their order of magnitude estimates of how close the critical value is to 1 with sharp asymptotics.