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math.PR2011★ 19 cited
The branching Brownian motion seen from its tip
E. Aïdékon, J. Berestycki, É. Brunet +1
It has been conjectured since the 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…
math.PR2011★ 18 cited
The precise tail behavior of the total progeny of a killed branching random walk
Elie Aïdékon, Yueyun Hu, Olivier Zindy
Consider a branching random walk on the real line with a killing barrier at zero: starting from a nonnegative point, particles reproduce and move independently, but are killed when…