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The almost-sure population growth rate in branching Brownian motion with a quadratic breeding potential


Reference:

Berestycki, J., Brunet, E., Harris, J. W. and Harris, S. C., 2010. The almost-sure population growth rate in branching Brownian motion with a quadratic breeding potential. Statistics & Probability Letters, 80 (17-18), pp. 1442-1446.

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    Official URL:

    http://dx.doi.org/10.1016/j.spl.2010.05.011

    Abstract

    In this note we consider a branching Brownian motion (BBM) on R in which a particle at spatial position y splits into two at rate beta y(2), where beta > 0 is a constant. This is a critical breeding rate for BBM in the sense that the expected population size blows up in finite time while the population size remains finite, almost surely, for all time. We find an asymptotic for the almost-sure rate of growth of the population.

    Details

    Item Type Articles
    CreatorsBerestycki, J., Brunet, E., Harris, J. W. and Harris, S. C.
    DOI10.1016/j.spl.2010.05.011
    Uncontrolled Keywordsbranching brownian motion
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementHarris_StatProbLet_2010_80_17-18_14442.pdf: This is the author’s version. A definitive version was subsequently published in Statistics & Probability Letters Volume 80, Issues 17-18, September 2010, DOI: 10.1016/j.spl.2010.05.011
    RefereedYes
    StatusPublished
    ID Code20566

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