Limiting behavior of critical branching Brownian motion with killing /

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Bibliographic Details
Author / Creator:Zheng, Bowei, author.
Ann Arbor : ProQuest Dissertations & Theses, 2015
Description:1 electronic resource (74 pages)
Format: E-Resource Dissertations
Local Note:School code: 0330
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Other authors / contributors:University of Chicago. degree granting institution.
Notes:Advisors: Steven P. Lalley Committee members: Gregory F. Lawler.
Dissertation Abstracts International, Volume: 77-02(E), Section: B.
Summary:We obtain sharp asymptotic estimates for hitting probabilities of a critical branching Brownian motion in one dimension with killing at 0. We also obtain sharp asymptotic formulas for the tail probabilities of the number of particles killed at 0. In the special case of double-or-nothing branching, we give exact formulas for both the hitting probabilities, in terms of elliptic functions, and the distribution of the number of killed particles.