271 citations · 2.2k across the 64 of their papers we have counts for
39 papers · 1 filter
Time-time covariance for last passage percolation in half-space
Patrik L. Ferrari, Alessandra Occelli
This article studies several properties of the half-space last passage percolation, in particular the two-time covariance. We show that, when the two end-points are at small macros…
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…
Time-time covariance for last passage percolation with generic initial profile
Patrik L. Ferrari, Alessandra Occelli
We consider time correlation for KPZ growth in 1+1 dimensions in a neighborhood of a characteristics. We prove convergence of the covariance with droplet, flat and stationary initi…
Finite GUE distribution with cut-off at a shock
P. L. Ferrari
We consider the totally asymmetric simple exclusion process with initial conditions generating a shock. The fluctuations of particle positions are asymptotically governed by the ra…
Reflected Brownian motions in the KPZ universality class
Thomas Weiss, Patrik Ferrari, Herbert Spohn
This book presents a detailed study of a system of interacting Brownian motions in one dimension. The interaction is point-like such that the -th Brownian motion is reflected fr…
Fluctuations of the competition interface in presence of shocks
Patrik L. Ferrari, Peter Nejjar
We consider last passage percolation (LPP) models with exponentially distributed random variables, which are linked to the totally asymmetric simple exclusion process (TASEP). The…