# Local times of fractional Brownian sheet

Xiao, Yimin and Zhang, Tusheng (2002) Local times of fractional Brownian sheet. Probability Theory and Related Fields, 124 (2). pp. 204-226. ISSN 1432-2064

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## Abstract

Let B0H = {B0H(t), t Î \mathbb R+N } be a real-valued fractional Brownian sheet. Consider the (N, d) Gaussian random field BH defined by BH(t) = (BH1(t), ¼, BHd(t)) (t Î \mathbb R+N), where BH1, ¼, BHd are independent copies of B0H. In this paper, the existence and joint continuity of the local times of BH are established.

Item Type: Article MSC 2010, the AMS's Mathematics Subject Classification > 60 Probability theory and stochastic processes Ms Lucy van Russelt 16 Aug 2006 20 Oct 2017 14:12 http://eprints.maths.manchester.ac.uk/id/eprint/527

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