471 citations · 5.3k across the 78 of their papers we have counts for
4 papers · 1 filter
Correlations of the density and of the current in non-equilibrium diffusive systems
Tridib Sadhu, Bernard Derrida
We use fluctuating hydrodynamics to analyze the dynamical properties in the non-equilibrium steady state of a diffusive system coupled with reservoirs. We derive the two-time corre…
On the genealogy of branching random walks and of directed polymers
Bernard Derrida, Peter Mottishaw
It is well known that the mean field theory of directed polymers in a random medium exhibits replica symmetry breaking with a distribution of overlaps which consists of two delta f…
Large-displacement statistics of the rightmost particle of the one-dimensional branching Brownian motion
Bernard Derrida, Baruch Meerson, Pavel V. Sasorov
Consider a one-dimensional branching Brownian motion, and rescale the coordinate and time so that the rates of branching and diffusion are both equal to . If is the pos…
Large deviations for the branching Brownian motion in presence of selection or coalescence
Bernard Derrida, Zhan Shi
The large deviation function has been known for a long time in the literature for the displacement of the rightmost particle in a branching random walk (BRW), or in a branching Bro…