On the large time growth rate of the support of supercritical, super-Brownian motion
成果类型：
Article
署名作者：
Pinsky, RG
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1176987801
发表日期：
1995
页码：
1748-1754
关键词：
摘要：
Consider the supercritical super-Brownian motion X(t, .) on R(d) corresponding to the evolution equation u(t) = D/2 Delta u + u - u(2). We obtain rather tight bounds on P-mu(X(s, B-n(c)(0)) = 0, for all s is an element of [0, t]) and on P-mu(X(t, B-n(c)(0)) = 0), for large n, where P-mu denotes the measure corresponding to the supercritical super-Brownian motion starting from the finite measure, mu, B-n(0) subset of R(d) denotes the ball of radius n centered at the origin and B-n(c)(0) denotes its complement. In particular, we show, for example, that if mu is a compactly supported, finite measure on R(d), then [GRAPHICS] and [GRAPHICS]