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Branching Brownian Motions on Riemannian Manifolds: Expectation of the Number of Branches Hitting Closed Sets

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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.

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Authors and Affiliations

  1. Mathematical Institute, Tohoku University, Aoba, Sendai, 980-8578, Japan

    M. Takeda

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  1. M. Takeda
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Correspondence to M. Takeda.

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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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Takeda, M. Branching Brownian Motions on Riemannian Manifolds: Expectation of the Number of Branches Hitting Closed Sets. Potential Anal 27, 61–72 (2007). https://doi.org/10.1007/s11118-007-9039-3

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  • DOI: https://doi.org/10.1007/s11118-007-9039-3

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