An Almost Sure Limit Theorem for Super-Brownian Motion

作者：Wang, Li^*

来源：Journal of Theoretical Probability, 2010, 23(2): 401-416.

DOI：10.1007/s10959-008-0200-8

• Super-Brownian motion
• Almost sure limit theorem

We establish an almost sure scaling limit theorem for super-Brownian motion on R(d) associated with the semi-linear equation u(t) = 1/2 Delta u + beta u - alpha u(2), where alpha and beta are positive constants. In this case, the spectral theoretical assumptions required in Chen et al. (J. Funct. Anal. 254:1988-2019, 2008) are not satisfied. An example is given to show that the main results also hold for some sub-domains in R(d).

• 出版日期2010-6
• 单位北京师范大学