Rescaled contact processes converge to super-Brownian motion in two or more dimensions


Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Durrett, R; Perkins, EA

Published Date

  • January 1, 1999

Published In

Volume / Issue

  • 114 / 3

Start / End Page

  • 309 - 399

International Standard Serial Number (ISSN)

  • 0178-8051

Digital Object Identifier (DOI)

  • 10.1007/s004400050228

Citation Source

  • Scopus