English

Reflecting Ornstein-Uhlenbeck processes on pinned path spaces

Probability 2008-04-22 v1

Abstract

Consider a set of continuous maps from the interval [0,1][0,1] to a domain in Rd{\mathbb R}^d. 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.

Keywords

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

R2 v1 2026-06-21T09:43:14.343Z