Super-Brownian motion with extra birth at one point
概率论
2011-02-18 v2 数学物理
math.MP
摘要
A super-Brownian motion in two and three dimensions is constructed where "particles" give birth at a higher rate, if they approach the origin. Via a log-Laplace approach, the construction is based on Albeverio et al. (1995) who calculated the fundamental solutions of the heat equation with one-point potential in dimensions less than four.
引用
@article{arxiv.math/0211435,
title = {Super-Brownian motion with extra birth at one point},
author = {Klaus Fleischmann and Carl Mueller},
journal= {arXiv preprint arXiv:math/0211435},
year = {2011}
}