3 papers
math.CO2019
Harnack Inequality for Magnetic Graphs
Sawyer Jack Robertson
For magnetic graphs satisfying connection curvature dimension inequality , we prove a Harnack-type inequality for eigenfunctions of the graph magnetic Laplace operator i…
math.FA2019
Topics in Hilbert Spaces, Spectral Theory, and Harmonic Analysis
Sawyer Jack Robertson
General expository paper concerning topics in Hilbert spaces, spectral theory, and harmonic analysis. The preliminary section includes basic Banach algebra and Hilbert space theory…
math.CO2019
Kantorovich Duality and Optimal Transport Problems on Magnetic Graphs
Sawyer Jack Robertson
We consider Lipschitz- and Arens-Eells-type function spaces constructed for magnetic graphs, which are adapted to this setting from the area of optimal transport on discrete spaces…