Escape rate of symmetric jump-diffusion processes

Shiozawa, Yuichi

doi:10.1090/tran6681

Escape rate of symmetric jump-diffusion processes
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Trans. Amer. Math. Soc. 368 (2016), 7645-7680 Request permission

Abstract:

We study the escape rate of symmetric jump-diffusion processes generated by regular Dirichlet forms. We derive an upper bound of the escape rate by using the volume growth of the underlying measure and the growth of the canonical coefficient. Our result allows the (sub-)exponential volume growth and the unboundedness of the canonical coefficient.

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