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

被引：0
|
作者：
Richard Durrett
Edwin A. Perkins
机构：
[1] Department of Mathematics and ORIE,
[2] 278 Rhodes Hall,undefined
[3] Cornell University,undefined
[4] Ithaca,undefined
[5] NY 14853,undefined
[6] USA (e-mail: rtd1@cornell.edu),undefined
[7] Department of Mathematics,undefined
[8] 1984 Mathematics Rd.,undefined
[9] University of British Columbia,undefined
[10] Vancouver,undefined
[11] B.C. V6T 1Z2,undefined
[12] Canada (e-mail: perkins@math.ubc.ca),undefined
来源：
Probability Theory and Related Fields | 1999年 / 114卷
关键词：
Mathematics Subject Classification (1991): Primary 60K35, 60G57; Secondary: 60F05, 60J80;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：309 / 399
页数：90
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