3 papers
math.OC2020
Modulus of time-respecting paths
Nathan Albin, Vikenty Mikheev
On a static graph, the p-modulus of a family of paths reflects both the lengths of these paths as well as their diversity; a family of many short, disjoint paths has larger modulus…
math.NA2019
Fourier spectral methods for nonlocal models
Bacim Alali, Nathan Albin
Efficient and accurate spectral solvers for nonlocal models in any spatial dimension are presented. The approach we pursue is based on the Fourier multipliers of nonlocal Laplace o…
math.CO2019
Spanning tree modulus for secure broadcast games
Nathan Albin, Kapila Kottegoda, Pietro Poggi-Corradini
The theory of -modulus provides a general framework for quantifying the richness of a family of objects on a graph. When applied to the family of spanning trees, -modulus has…