39 citations · 67 across the 2 of their papers we have counts for
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The height distribution of the KPZ equation with sharp wedge initial condition: numerical evaluations
Sylvain Prolhac, Herbert Spohn
The time-dependent probability distribution function of the height for the Kardar-Parisi-Zhang equation with sharp wedge initial conditions has been obtained recently as a convolut…
The One-dimensional KPZ Equation and the Airy Process
Sylvain Prolhac, Herbert Spohn
Our previous work on the one-dimensional KPZ equation with sharp wedge initial data is extended to the case of the joint height statistics at n spatial points for some common fixed…
Two-point generating function of the free energy for a directed polymer in a random medium
Sylvain Prolhac, Herbert Spohn
We consider a 1+1 dimensional directed continuum polymer in a Gaussian delta-correlated space-time random potential. For this model the moments (= replica) of the partition functio…
A combinatorial solution for the current fluctuations in the exclusion process
Sylvain Prolhac
We conjecture an exact expression for the large deviation function of the stationary state current in the partially asymmetric exclusion process with periodic boundary conditions.…
Cumulants of the current in the weakly asymmetric exclusion process
Sylvain Prolhac, Kirone Mallick
We study the fluctuations of the total current for the partially asymmetric exclusion process in the scaling of a weak asymmetry (asymmetry of order the inverse of the size of the…
Matrix product solution of the multispecies partially asymmetric exclusion process
S. Prolhac, M. R. Evans, K. Mallick
We find the exact solution for the stationary state measure of the partially asymmetric exclusion process on a ring with multiple species of particles. The solution is in the form…