6 citations · 8 across the 8 of their papers we have counts for
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math.PR2018
Propagation of Chaos for reflecting diffusions with local-time dependent noise
Clayton Barnes
We prove existence and uniqueness of a reaction-diffusion equation whose diffusivity is a non-linear functional of the boundary temperature. We do this by studying systems of one-d…
math.PR2018
Billiards with Markovian reflection laws
Clayton Barnes, Krzysztof Burdzy, Carl-Erik Gauthier
We construct a class of reflection laws for billiard processes in the unit interval whose stationary distribution for the billiard position and its velocity is the product of the u…
math.PR2018
Convergence of jump processes with stochastic intensity to Brownian motion with inert drift
Clayton Barnes
Consider a random walker on the nonnegative lattice, moving in continuous time, whose positive transition intensity is proportional to the time the walker spends at the origin. In…