176 citations · 768 across the 86 of their papers we have counts for
12 papers · 1 filter
Pointwise dispersive estimates for Schrödinger operators on product cones
Blake Keeler, Jeremy L. Marzuola
We investigate the dispersive properties of solutions to the Schrödinger equation with a weakly decaying radial potential on cones. If the potential has sufficient polynomial decay…
Non-local SPDE limits of spatially-correlated-noise driven spin systems derived to sample a canonical distribution
Yuan Gao, Jeremy L. Marzuola, Jonathan Mattingly +1
We study the macroscopic behavior of a stochastic spin ensemble driven by a discrete Markov jump process motivated by the Metropolis-Hastings algorithm where the proposal is made w…
Defect resonances of truncated crystal structures
Jianfeng Lu, Jeremy L. Marzuola, Alexander B. Watson
Defects in the atomic structure of crystalline materials may spawn electronic bound states, known as \emph{defect states}, which decay rapidly away from the defect. Simplified mode…
Limiting Eigenfunctions of Sturm-Liouville operators Subject to a Spectral Flow
Thomas Beck, Isabel Bors, Grace Conte +2
We examine the spectrum of a family of Sturm--Liouville operators with regularly spaced delta function potentials parametrized by increasing strength. The limiting behavior of the…
A Proximal-Gradient Algorithm for Crystal Surface Evolution
Katy Craig, Jian-Guo Liu, Jianfeng Lu +2
As a counterpoint to recent numerical methods for crystal surface evolution, which agree well with microscopic dynamics but suffer from significant stiffness that prevents simulati…
A metric on directed graphs and Markov chains based on hitting probabilities
Zachary M. Boyd, Nicolas Fraiman, Jeremy L. Marzuola +3
The shortest-path, commute time, and diffusion distances on undirected graphs have been widely employed in applications such as dimensionality reduction, link prediction, and trip…