471 citations · 5.3k across the 78 of their papers we have counts for
78 papers
Generalizations of Parisi's replica symmetry breaking and overlaps in random energy models
Bernard Derrida, Peter Mottishaw
The random energy model (REM) is the simplest spin glass model which exhibits replica symmetry breaking. It is well known since the 80's that its overlaps are non-selfaveraging and…
Cross-overs of Bramson's shift at the transition between pulled and pushed fronts
Bernard Derrida
The Bramson logarithmic shift of the position of pulled fronts is a universal feature common to a large class of monostable traveling wave equations. As one varies the non-linearit…
The discrete random energy model and one step replica symmetry breaking
Bernard Derrida, Peter Mottishaw
We solve the random energy model when the energies of the configurations take only integer values. In the thermodynamic limit, the average overlaps remain size dependent and oscill…
Large deviations in the symmetric simple exclusion process with slow boundaries
Bernard Derrida, Ori Hirschberg, Tridib Sadhu
We obtain the exact large deviation functions of the density profile and of the current, in the non-equilibrium steady state of a one dimensional symmetric simple exclusion process…
One step replica symmetry breaking and overlaps between two temperatures
Bernard Derrida, Peter Mottishaw
We obtain an exact analytic expression for the average distribution, in the thermodynamic limit, of overlaps between two copies of the same random energy model (REM) at different t…
Results and conjectures on a toy model of depinning
Bernard Derrida, Zhan Shi
We review recent results and conjectures for a simplified version of the depinning problem in presence of disorder which was introduced by Derrida and Retaux in 2014. For this toy…