3 papers
math.PR2018
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…
math.PR2018
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.…
math.PR2018
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…