8 citations · 8 across the 6 of their papers we have counts for
6 papers
Pushing, blocking and polynuclear growth
Will FitzGerald
We consider a discrete-time model for random interface growth which admits exact formulas and converges to the Polynuclear growth model in a particular limit. The height of the int…
Ordered exponential random walks
Denis Denisov, Will FitzGerald
We study a -dimensional random walk with exponentially distributed increments conditioned so that the components stay ordered (in the sense of Doob). We find explicitly a positi…
Asymptotic expansions for a class of Fredholm Pfaffians and interacting particle systems
Will FitzGerald, Roger Tribe, Oleg Zaboronski
Motivated by the phenomenon of duality for interacting particle systems we introduce two classes of Pfaffian kernels describing a number of Pfaffian point processes in the `bulk' a…
The invariant measure of PushASEP with a wall and point-to-line last passage percolation
Will FitzGerald
We consider an interacting particle system on the lattice involving pushing and blocking interactions, called PushASEP, in the presence of a wall at the origin. We show that the in…
Sharp asymptotics for Fredholm Pfaffians related to interacting particle systems and random matrices
Will FitzGerald, Roger Tribe, Oleg Zaboronski
It has been known since the pioneering paper of Mark Kac, that the asymptotics of Fredholm determinants can be studied using probabilistic methods. We demonstrate the efficacy of K…
Point-to-line last passage percolation and the invariant measure of a system of reflecting Brownian motions
Will FitzGerald, Jon Warren
This paper proves an equality in law between the invariant measure of a reflected system of Brownian motions and a vector of point-to-line last passage percolation times in a discr…