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math.PR2012
An ergodic theorem for the extremal process of branching Brownian motion
Louis-Pierre Arguin, Anton Bovier, Nicola Kistler
In a previous paper, the authors proved a conjecture of Lalley and Sellke that the empirical (time-averaged) distribution function of the maximum of branching Brownian motion conve…
math.PR2012
An ergodic theorem for the frontier of branching Brownian motion
Louis-Pierre Arguin, Anton Bovier, Nicola Kistler
We prove a conjecture of Lalley and Sellke [Ann. Probab. 15 (1987)] asserting that the empirical (time-averaged) distribution function of the maximum of branching Brownian motion c…