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The branching Brownian motion seen from its tip

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It has been conjectured at least since a work of Lalley and Sellke (1987) that the branching Brownian motion seen from its tip (e.g. from its rightmost particle) converges to an invariant point process. The main goal of this talk is to present a proof of this fact which also gives a complete description of the limit object. The structure of this extremal point process turns out to be a certain Poisson point process with exponential intensity in which each atom has been decorated by an independent copy of an auxiliary point process. Joint work with Eric Brunet, Elie Aidekon and Zhan Shi.

http://www.proba.jussieu.fr/~berest/Julien_Berestycki/Home.html

This talk is part of the Probability series.

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