@article {STMAZ.06126536,
    author       = {Masamune, Jun and Uemura, Toshihiro and Wang, Jian},
    title        = {On the conservativeness and the recurrence of symmetric jump-diffusions.},
    year         = {2012},
    journal      = {Journal of Functional Analysis},
    volume       = {263},
    number       = {12},
    issn         = {0022-1236},
    pages        = {3984-4008},
    publisher    = {Elsevier, Amsterdam},
    doi          = {10.1016/j.jfa.2012.09.014},
    abstract     = {Summary: 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.},
    msc2010      = {60J60},
    identifier   = {06126536},
}