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Positivity of Perturbed Ornstein-Uhlenbeck Semigroups on Cb(H)

✍ Scribed by Abdelhadi Es-Sarhir; Bálint Farkas

Publisher: Springer
Year: 2005
Tongue: English
Weight: 463 KB
Volume: 70
Category: Article
ISSN: 0037-1912
DOI: 10.1007/s00233-004-0167-4

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Let X (N'd) be a N-parameter Omstein-Uhlenbeck process taking values in ~a. In this paper, we prove that, for an arbitrary pair of positive integers (N, d) and any open set S in R d, X (u'd) is recurrent to S. This is surprisingly different from the recurrence properties of the N-parameter Wiener pr