4 papers
A Simple Model of Sea Spray
Samantha Donner, Peter March, Mathew Umano
We propose a stochastic model of sea spray as a shot noise process attached to a homogeneous Poisson process whose intensity measure is the sea spray generation function, that is t…
Second Order Differential Operators on Graphs
Peter March
The commutator of a pair of vector fields on a graph is not a vector field in general, but rather a second order differential operator. We investigate this departure from the class…
Helmholtz-Hodge Decomposition on Graphs
Peter March
We propose a definition of the curl of a vector field X on a finite simple graph as the projection of X onto the orthogonal complement of circulation-free vector fields, where a ve…
Bochner's Identity on Graphs
Peter March
We prove an identity on a graph analogous to Bochner's identity on a Riemannian manifold. An auxiliary graph called the complete tangent graph intervenes in the term corresponding…