Journée-séminaire de combinatoire

(équipe CALIN du LIPN, université Paris-Nord, Villetaneuse)

Le 18 avril 2023 à 11h00 en B405, Éric Brunet nous parlera de : Refined large deviation results for the rightmost position in a branching Brownian motion (séminaire de proba du LAGA)

Résumé : The rightmost particle in a branching Brownian motion at time $t$ is, with high probability, around position $2t - 3/2 \ln t$. The probability that it lies around position $c t$ with $c>2$ is exponentially small with time, with a rate which is known since Chauvin Rouault (1989). We investigate the details of these large deviations, using as a starting point an intriguing relation between the quantity we consider and the median position of the rightmost particle.

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