73 citations · 343 across the 31 of their papers we have counts for
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Existence and Stability Properties of Radial Bound States for Schrödinger-Poisson with an External Coulomb Potential in Three Space Dimensions
Sarah Raynor, Jeremy L. Marzuola, Gideon Simpson
We consider radial solutions to the Schrödinger-Poisson system in three dimensions with an external smooth potential with Coulomb-like decay. Such a system can be viewed as a model…
A Theoretical Examination of Diffusive Molecular Dynamics
Gideon Simpson, Mitchell Luskin, David J. Srolovitz
Diffusive molecular dynamics is a novel model for materials with atomistic resolution that can reach diffusive time scales. The main ideas of diffusive molecular dynamics are to fi…
Relative Entropy Minimization over Hilbert Spaces via Robbins-Monro
Gideon Simpson, Daniel Watkins
One way of getting insight into non-Gaussian measures, posed on infinite dimensional Hilbert spaces, is to first obtain best fit Gaussian approximations, which are more amenable to…