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Absolute continuities of exit measures for superdiffusions

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Abstract

Suppose X= Xt, XT, Pμis a superdiffusion in ℝd with general branching mechanism ψ and general branching rate functionA. We discuss conditions onA to guarantee that the exit measure XTL of the superdiffusionX from bounded smooth domains in ℝd have absolutely continuous states.

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Authors and Affiliations

  1. Center for Advanced Study, Tsinghua University, 100084, Beijing, China

    Yanxia Ren

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  1. Yanxia Ren
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Correspondence to Yanxia Ren.

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Ren, Y. Absolute continuities of exit measures for superdiffusions. Sci. China Ser. A-Math. 43, 449–457 (2000). https://doi.org/10.1007/BF02897137

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  • DOI: https://doi.org/10.1007/BF02897137

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