具有超线性增长率的零程过程与沉积模型的存在性
概率论
2009-09-29 v4 数学物理
math.MP
摘要
我们在全不对称、吸引情形下构造了零程过程与砌砖工过程。新颖之处在于允许跳跃率按指数增长。早先的构造至多允许线性增长率。我们还证明了一族由粒子密度指标化的自然 i.i.d. 乘积测度的不变性与极端性。极端性用比现有遍历性证明更简的方式证得。
引用
@article{arxiv.math/0511287,
title = {Existence of the zero range process and a deposition model with superlinear growth rates},
author = {M. Balázs and F. Rassoul-Agha and T. Seppäläinen and S. Sethuraman},
journal= {arXiv preprint arXiv:math/0511287},
year = {2009}
}
备注
Published at http://dx.doi.org/10.1214/009117906000000971 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)