Reflected Brownian motion in a wedge: sum-of-exponential stationary densities
Probability
2011-07-18 v2
Abstract
We give necessary and sufficient conditions for the stationary density of semimartingale reflected Brownian motion in a wedge to be written as a finite sum of terms of exponential product form. Relying on geometric ideas reminiscent of the reflection principle, we give an explicit formula for the density in such cases.
Keywords
Cite
@article{arxiv.0712.0844,
title = {Reflected Brownian motion in a wedge: sum-of-exponential stationary densities},
author = {A. B. Dieker and J. Moriarty},
journal= {arXiv preprint arXiv:0712.0844},
year = {2011}
}