42 citations · 140 across the 21 of their papers we have counts for
23 papers
At the edge of a cloud of Brownian particles
Dom Brockington, Jon Warren
We study a simple model for the trajectory of a particle in a turbulent fluid, where a Brownian motion travels through a random Gaussian velocity field. We study the quenched law o…
The Bethe Ansatz for Sticky Brownian Motions
Dom Brockington, Jon Warren
We consider a diffusion in whose coordinates each behave as one-dimensional Brownian motions, that behave independently when apart, but have a sticky interaction whe…
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…
Interlacing Diffusions
Theodoros Assiotis, Neil O'Connell, Jon Warren
We study in some generality intertwinings between -transforms of Karlin-McGregor semigroups associated with one dimensional diffusion processes and those of their Siegmund duals…
The stochastic heat equation, 2D Toda equations and dynamics for the multilayer process
Chin Hang Lun, Jon Warren
We show that solutions of the stochastic heat equation driven by space-time white noise, although not smooth, meaningfully solve the two-dimensional Toda equations. Then by extendi…
Continuity and strict positivity of the multi-layer extension of the stochastic heat equation
Chin Hang Lun, Jon Warren
We prove the continuity and strict positivity of the multi-layer extension to the stochastic heat equation introduced in [OW11] which form a hierarchy of partition functions for th…