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An ergodic theorem for the maximum of branching Brownian motion with absorption

Published 4 Sep 2024 in math.PR | (2409.02479v1)

Abstract: In this paper, we study branching Brownian motion with absorption, in which particles undergo Brownian motions and are killed upon hitting the absorption barrier. We prove that the empirical distribution function of the maximum of this process converges almost surely to a randomly shifted Gumbel distribution.

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Authors (1)

  1. Fan Yang 

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