68 citations · 278 across the 26 of their papers we have counts for
30 papers
Using Bernoulli maps to accelerate mixing of a random walk on the torus
Gautam Iyer, Ethan Lu, James Nolen
We study the mixing time of a random walk on the torus, alternated with a Lebesgue measure preserving Bernoulli map. Without the Bernoulli map, the mixing time of the random walk a…
The Fleming-Viot Process with McKean-Vlasov Dynamics
Oliver Tough, James Nolen
The Fleming-Viot particle system consists of identical particles diffusing in a domain . Whenever a particle hits the boundary , that partic…
Brownian bees in the infinite swarm limit
Julien Berestycki, Eric Brunet, James Nolen +1
The Brownian bees model is a branching particle system with spatial selection. It is a system of particles which move as independent Brownian motions in and inde…
A free boundary problem arising from branching Brownian motion with selection
Julien Berestycki, Éric Brunet, James Nolen +1
We study a free boundary problem for a parabolic partial differential equation in which the solution is coupled to the moving boundary through an integral constraint. The problem a…
Asymptotic behavior of branching diffusion processes in periodic media
Pratima Hebbar, Leonid Koralov, James Nolen
We study the asymptotic behavior of branching diffusion processes in periodic media. For a super-critical branching process, we distinguish two types of behavior for the normalized…
Quantitative Propagation of Chaos in the bimolecular chemical reaction-diffusion model
Tau Shean Lim, Yulong Lu, James Nolen
We study a stochastic system of interacting particles which models bimolecular chemical reaction-diffusion. In this model, each particle carries two attributes: the spatial…