271 citations · 2.2k across the 64 of their papers we have counts for
Showing 2013 · math-phShow all
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math-ph2013★ 9 cited
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…
math-ph2013★ 32 cited
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…
math-ph2013★ 31 cited
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…