Limiting distributions for the maximal displacement of branching Brownian motions

13 Jul 2020 Nishimori Yasuhito Shiozawa Yuichi

We 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 Schr\"odinger type operator. To establish our results, we show a sharp and locally uniform growth order of the Feynman-Kac semigroup...

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