中文

Sets avoided by Brownian motion

概率论 2008-02-03 v1

摘要

Any fixed cylinder is hit almost surely by a 3-dimensional Brownian motion, but is there a random cylinder that is in the complement? We answer this for cylinders, and then replacing a cylinder with a more general set.

引用

@article{arxiv.math/9701225,
  title  = {Sets avoided by Brownian motion},
  author = {O. Adelman and Krzysztof Burdzy and Robin Pemantle},
  journal= {arXiv preprint arXiv:math/9701225},
  year   = {2008}
}