271 citations · 2.2k across the 64 of their papers we have counts for
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Why random matrices share universal processes with interacting particle systems?
Patrik L. Ferrari
In these lecture we explain why limiting distribution function, like the Tracy-Widom distribution, or limit processes, like the Airy_2 process, arise both in random matrices and in…
Tracy-Widom asymptotics for q-TASEP
Patrik L. Ferrari, Balint Veto
We consider the q-TASEP that is a q-deformation of the totally asymmetric simple exclusion process (TASEP) on Z for q in [0,1) where the jump rates depend on the gap to the next pa…
Coupled Kardar-Parisi-Zhang Equations in One Dimension
Patrik L. Ferrari, Tomohiro Sasamoto, Herbert Spohn
Over the past years our understanding of the scaling properties of the solutions to the one-dimensional KPZ equation has advanced considerably, both theoretically and experimentall…
Scaling limit for Brownian motions with one-sided collisions
Patrik L. Ferrari, Herbert Spohn, Thomas Weiss
We consider Brownian motions with one-sided collisions, meaning that each particle is reflected at its right neighbour. For a finite number of particles a Schütz-type formula is de…
Anomalous shock fluctuations in TASEP and last passage percolation models
Patrik L. Ferrari, Peter Nejjar
We consider the totally asymmetric simple exclusion process with initial conditions and/or jump rates such that shocks are generated. If the initial condition is deterministic, the…