23 citations · 119 across the 25 of their papers we have counts for
4 papers · 1 filter
Fourier multipliers for nonlocal Laplace operators
Bacim Alali, Nathan Albin
Fourier multiplier analysis is developed for nonlocal peridynamic-type Laplace operators, which are defined for scalar fields in . The Fourier multipliers are given t…
Fairest edge usage and minimum expected overlap for random spanning trees
Nathan Albin, Jason Clemens, Derek Hoare +3
Random spanning trees of a graph are governed by a corresponding probability mass distribution (or "law"), , defined on the set of all spanning trees of . This paper addr…
Modulus metrics on networks
Nathan Albin, Nethali Fernando, Pietro Poggi-Corradini
The concept of -modulus gives a way to measure the richness of a family of objects on a graph. In this paper, we investigate the families of connecting walks between two fixed n…
Infinity modulus and the essential metric
Nathan Albin, Jared Hoppis, Pietro Poggi-Corradini +1
We study -modulus on general metric spaces and establish its relation to shortest lengths of paths. This connection was already known for modulus on graphs, but the formula…