11 citations · 22 across the 3 of their papers we have counts for
4 papers
Perturbed GUE Minor Process and Warren's Process with Drifts
Patrik L. Ferrari, René Frings
We consider the minor process of (Hermitian) matrix diffusions with constant diagonal drifts. At any given time, this process is determinantal and we provide an explicit expression…
On the spatial persistence for Airy processes
Patrik L. Ferrari, René Frings
In this short paper we derive a formula for the spatial persistence probability of the Airy_1 and the Airy_2 processes. We then determine numerically a persistence coefficient for…
Finite time corrections in KPZ growth models
Patrik L. Ferrari, René Frings
We consider some models in the Kardar-Parisi-Zhang universality class, namely the polynuclear growth model and the totally/partially asymmetric simple exclusion process. For these…
On the partial connection between random matrices and interacting particle systems
Patrik L. Ferrari, René Frings
In the last decade there has been increasing interest in the fields of random matrices, interacting particle systems, stochastic growth models, and the connections between these ar…