Volume growth and escape rate of symmetric diffusion processes |
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| Authors: | Shunxiang Ouyang |
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| Affiliation: | Department of Mathematics, Bielefeld University, Bielefeld, Germany. |
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| 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. |
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| Keywords: | Escape rate upper bound diffusion process Dirichlet form volume growth |
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