Volume growth and escape rate of symmetric diffusion processes. Issue 3 (2nd April 2016)

• Record Type: Journal Article
• Authors: Ouyang, Shunxiang
• Is Part Of: Stochastics. Volume 88:Issue 3(2016)
• Page Start: 353
• Page End: 372
• Publication Date: 2016-04-02
• Subjects: Escape rate -- upper bound -- diffusion process -- Dirichlet form -- volume growth; 58J65 -- 60J60 -- 31C25; Stochastic processes -- Periodicals; Probabilities -- Periodicals; 519.2
• DOI: 10.1080/17442508.2015.1072532
• Languages: English
• ISSNs: 1744-2508

Abstract

Abstract : We give an upper rate function, in terms of the volume growth of the underlying state space, for the symmetric diffusion process associated with a symmetric, strongly local regular Dirichlet form. It extends the main result of Hsu and Qin [Ann. Probab. 38(4) 2010], where an upper rate function was given for Brownian motion on Riemannian manifold.