Branching Brownian Motions on Riemannian Manifolds: Expectation of the Number of Branches Hitting Closed Sets |
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Authors: | M. Takeda |
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Affiliation: | (1) Mathematical Institute, Tohoku University, Aoba, Sendai 980-8578, Japan |
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Abstract: | For a branching Brownian motion on Riemannian manifold, we give an analytic criterion for the expectation of the number of branches hitting a closed set being finite. The author was supported in part by Grant-in-Aid for Scientific Research (No.18340033 (B)), Japan Society for the Promotion of Science. |
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Keywords: | branching Brownian motion Feynman– Kac functional gaugeability Dirichlet form |
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