146 citations · 551 across the 10 of their papers we have counts for
6 papers · 1 filter
Universal tree structures in directed polymers and models of evolving populations
Eric Brunet, Bernard Derrida, Damien Simon
By measuring or calculating coalescence times for several models of coalescence or evolution, with and without selection, we show that the ratios of these coalescence times become…
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…
A phenomenological theory giving the full statistics of the position of fluctuating pulled fronts
E. Brunet, B. Derrida, A. H. Mueller +1
We propose a phenomenological description for the effect of a weak noise on the position of a front described by the Fisher-Kolmogorov-Petrovsky-Piscounov equation or any other tra…
An exactly soluble noisy traveling wave equation appearing in the problem of directed polymers in a random medium
Eric Brunet, Bernard Derrida
We calculate exactly the velocity and diffusion constant of a microscopic stochastic model of evolving particles which can be described by a noisy traveling wave equation with…
Universal Properties of Growing Networks
P. L. Krapivsky, B. Derrida
Networks growing according to the rule that every new node has a probability p_k of being attached to k preexisting nodes, have a universal phase diagram and exhibit power law deca…
Current fluctuations in the one dimensional Symmetric Exclusion Process with open boundaries
B Derrida, B Doucot, P. -E. Roche
We calculate the first four cumulants of the integrated current of the one dimensional symmetric simple exclusion process of sites with open boundary conditions. For large syst…