19 citations · 43 across the 8 of their papers we have counts for
9 papers
The supercooled Stefan problem with transport noise: weak solutions and blow-up
Sean Ledger, Andreas Sojmark
We derive two weak formulations for the supercooled Stefan problem with transport noise on a half-line: one captures a continuously evolving system, while the other resolves blow-u…
Uniqueness for contagious McKean--Vlasov systems in the weak feedback regime
Sean Ledger, Andreas Sojmark
We present a simple uniqueness argument for a collection of McKean-Vlasov problems that have seen recent interest. Our first result shows that, in the weak feedback regime, there i…
Diffusion and superdiffusion in lattice models of colliding particles with stored momentum
Edward Crane, Sean Ledger, Balint Toth
We introduce two discrete models of a collection of colliding particles with stored momentum and study the asymptotic growth of the mean-square displacement of an active particle.…
At the Mercy of the Common Noise: Blow-ups in a Conditional McKean--Vlasov Problem
Sean Ledger, Andreas Sojmark
We extend a model of positive feedback and contagion in large mean-field systems, by introducing a common source of noise driven by Brownian motion. Although the driving dynamics a…
Random walk on the randomly-oriented Manhattan lattice
Sean Ledger, Bálint Tóth, Benedek Valkó
In the randomly-oriented Manhattan lattice, every line in is assigned a uniform random direction. We consider the directed graph whose vertex set is a…
A McKean--Vlasov equation with positive feedback and blow-ups
Ben Hambly, Sean Ledger, Andreas Sojmark
We study a McKean--Vlasov equation arising from a mean-field model of a particle system with positive feedback. As particles hit a barrier they cause the other particles to jump in…