Proves almost sure convergence of the empirical distribution function of the maximum in absorbed branching Brownian motion to a randomly shifted Gumbel distribution.
and Piskounov, N.: ´Etude de I’´ equation de la diffusion avec croissance de la quantit´ e de la mati` ere at son application a un probl` em biologique.Moscow Univ
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An ergodic theorem for the maximum of branching Brownian motion with absorption
Proves almost sure convergence of the empirical distribution function of the maximum in absorbed branching Brownian motion to a randomly shifted Gumbel distribution.