471 citations · 1.8k across the 34 of their papers we have counts for
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Microscopic models of traveling wave equations
Eric Brunet, Bernard Derrida
Reaction-diffusion problems are often described at a macroscopic scale by partial derivative equations of the type of the Fisher or Kolmogorov-Petrovsky-Piscounov equation. These e…
Shift in the velocity of a front due to a cut-off
Eric Brunet, Bernard Derrida
We consider the effect of a small cut-off epsilon on the velocity of a traveling wave in one dimension. Simulations done over more than ten orders of magnitude as well as a simple…
Ground state energy of a non-integer number of particles with delta attractive interactions
Eric Brunet, Bernard Derrida
We show how to define and calculate the ground state energy of a system of quantum particles with delta attractive interactions when the number of particles n$is non-integer. The q…
Probability distribution of the free energy of a directed polymer in a random medium
Eric Brunet, Bernard Derrida
We calculate exactly the first cumulants of the free energy of a directed polymer in a random medium for the geometry of a cylinder. By using the fact that the n-th moment <Z^n> of…