35 citations · 106 across the 10 of their papers we have counts for
15 papers
Limit profiles of ASEP
David A. Henriquez Bernal, Peter Nejjar
We study the asymmetric simple exclusion process (ASEP) on a segment and are interested in its total variation distance to equilibrium when started from an initi…
The second class particle process at shocks
Patrik L. Ferrari, Peter Nejjar
We consider the totally asymmetric simple exclusion process (TASEP) starting with a shock discontinuity at the origin, with asymptotic densities to the left of the origin and $…
Cutoff profile of ASEP on a segment
Alexey Bufetov, Peter Nejjar
This paper studies the mixing behavior of the Asymmetric Simple Exclusion Process (ASEP) on a segment of length . Our main result is that for particle densities in the…
Dynamical Phase Transition of ASEP in the KPZ regime
Peter Nejjar
We consider the asymmetric simple exclusion process (ASEP) on . For continuous densities, ASEP is in local equilibrium for large times, at discontinuities however, one…
Statistics of TASEP with three merging characteristics
Patrik L. Ferrari, Peter Nejjar
In this paper we consider the totally asymmetric simple exclusion process, with non-random initial condition having three regions of constant densities of particles. From left to r…
KPZ statistics of second class particles in ASEP via mixing
Peter Nejjar
We consider the asymmetric simple exclusion process on with a single second class particle initially at the origin. The first class particles form two rarefaction fans…