Limiting distributions for the maximal displacement of branching Brownian motions
The authors show the model of branching Brownian motions. They determine the long time behavior and the exact order of the tail probability for the maximal displacement of a branching Brownian motion in Euclidean space in terms of the principal eigenvalue of the associated Schrödinger type operator. The long time asymptotic properties of Feynman-Kac semigroups are derived. The subsequent sections are devoted to the proofs of the results presented in the paper.
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