35 citations · 106 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
GUE GUE limit law at hard shocks in ASEP
Peter Nejjar
We consider the asymmetric simple exclusion process (ASEP) on with initial data such that in the large time particle density a discontinuity (shock) at the…
New edge asymptotics of skew Young diagrams via free boundaries
Dan Betea, Jérémie Bouttier, Peter Nejjar +1
We study edge asymptotics of poissonized Plancherel-type measures on skew Young diagrams (integer partitions). These measures can be seen as generalizations of those studied by Bai…