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cond-mat.stat-mech2022★ 2 cited
Probabilistic picture for particle number densities in stretched tips of the branching Brownian motion
Anh Dung Le, Alfred H. Mueller, Stéphane Munier
In the framework of a stochastic picture for the one-dimensional branching Brownian motion, we compute the probability density of the number of particles near the rightmost one at…
cond-mat.stat-mech2019★ 9 cited
Particle-number distribution in large fluctuations at the tip of branching random walks
A. H. Mueller, S. Munier
We investigate properties of the particle distribution near the tip of one-dimensional branching random walks at large times , focusing on unusual realizations in which the righ…