146 citations · 280 across the 5 of their papers we have counts for
5 papers
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…
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…
Phenomenological picture of fluctuations in branching random walks
A. H. Mueller, S. Munier
We propose a picture of the fluctuations in branching random walks, which leads to predictions for the distribution of a random variable that characterizes the position of the bulk…
Effect of selection on ancestry: an exactly soluble case and its phenomenological generalization
E. Brunet, B. Derrida, A. H. Mueller +1
We consider a family of models describing the evolution under selection of a population whose dynamics can be related to the propagation of noisy traveling waves. For one particula…
Noisy traveling waves: effect of selection on genealogies
E. Brunet, B. Derrida, A. H. Mueller +1
For a family of models of evolving population under selection, which can be described by noisy traveling wave equations, the coalescence times along the genealogical tree scale lik…