Abstract
In the present paper, we give general criteria of conservativeness and recurrence for Markov processes associated with, not necessarily symmetric, Dirichlet spaces. The conservativeness criterion is applied to discuss a comparison theorem of conservativeness for diffusion processes. Also some sufficient conditions of conservativeness and recurrence for diffusion processes.are given.
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Oshima, Y. On conservativeness and recurrence criteria for Markov processes. Potential Anal 1, 115–131 (1992). https://doi.org/10.1007/BF01789234
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DOI: https://doi.org/10.1007/BF01789234