271 citations · 2.2k across the 64 of their papers we have counts for
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Universality of the geodesic tree in last passage percolation
Ofer Busani, Patrik Ferrari
In this paper we consider the geodesic tree in exponential last passage percolation. We show that for a large class of initial conditions around the origin, the line-to-point geode…
Upper tail decay of KPZ models with Brownian initial conditions
Patrik L. Ferrari, Bálint Vető
In this paper we consider the limiting distribution of KPZ growth models with random but not stationary initial conditions introduced in [Chhita-Ferrari-Spohn 2018]. The one-point…
The Preisach graph and longest increasing subsequences
Patrik L. Ferrari, Muhittin Mungan, M. Mert Terzi
The Preisach graph is a directed graph associated with a permutation . We give an explicit bijection between its vertices and increasing subsequences of with th…
Shock fluctuations in TASEP under a variety of time scalings
Alexey Bufetov, Patrik L. Ferrari
We consider the totally asymmetric simple exclusion process (TASEP) with two different initial conditions with shock discontinuities formed by blocks of fully packed particles. Ini…