3 papers
math.PR2023
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…
math.PR2020
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…
math.PR2019
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…