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Abstract: Let E be an unbounded open or closed domain in Euclidean space of dimensiongreater or equal to two. We present conservativeness criteria for possiblyreflected diffusions with state space E that are associated to fairly generalperturbed divergence form operators. Our main tool is a recently extendedforward and backward martingale decomposition, which reduces to the well-knownLyons-Zheng decomposition in the symmetric case.



Autor: Masayoshi Takeda, Gerald Trutnau

Fuente: https://arxiv.org/







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