Reflecting Ornstein-Uhlenbeck processes on pinned path spaces
Probability
2008-04-22 v1
Abstract
Consider a set of continuous maps from the interval to a domain in . Although the topological boundary of this set in the path space is not smooth in general, by using the theory of functions of bounded variation (BV functions) on the Wiener space and the theory of Dirichlet forms, we can discuss the existence of the surface measure and the Skorokhod representation of the reflecting Ornstein-Uhlenbeck process associated with the canonical Dirichlet form on this set.
Cite
@article{arxiv.0711.2144,
title = {Reflecting Ornstein-Uhlenbeck processes on pinned path spaces},
author = {Masanori Hino and Hiroto Uchida},
journal= {arXiv preprint arXiv:0711.2144},
year = {2008}
}
Comments
19 pages