Simultaneous boundary hitting by coupled reflected Brownian motions
Probability
2018-12-21 v1
Abstract
(i) Uncountably many synchronized reflected Brownian motions can hit the boundary of a domain at the same time. (ii) Measures associated to local times of two synchronized reflected Brownian motions are mutually singular until the time when the normal vectors at the reflection locations become identical. (iii) Mirror coupled reflected Brownian motions can simultaneously hit opposite sides of a wedge at different distances from the origin.
Keywords
Cite
@article{arxiv.1812.08355,
title = {Simultaneous boundary hitting by coupled reflected Brownian motions},
author = {Krzysztof Burdzy},
journal= {arXiv preprint arXiv:1812.08355},
year = {2018}
}