Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590974 | Journal of Functional Analysis | 2012 | 25 Pages |
Abstract
Sufficient conditions for a symmetric jump-diffusion process to be conservative and recurrent are given in terms of the volume of the state space and the jump kernel of the process. A number of examples are presented to illustrate the optimality of these conditions; in particular, the situation is allowed to be that the state space is topologically disconnected but the particles can jump from a connected component to the other components.
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