17 citations · 77 across the 30 of their papers we have counts for
36 papers
The parametrix construction of the heat kernel on a graph
Gautam Chinta, Jay Jorgenson, Anders Karlsson +1
In this paper we develop the parametrix approach for constructing the heat kernel on a graph . In particular, we highlight two specific cases. First, we consider the case when $…
The resolvent kernel on the discrete circle and twisted cosecant sums
Jay Jorgenson, Anders Karlsson, Lejla Smajlović
Let denote the discrete circle with vertices. For and complex , let be the resolvent kernel associated to the combinatorial Laplaci…
Discrete diffusion-type equation on regular graphs and its applications
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
We derive an explicit formula for the fundamental solution to the discrete-time diffusion equation on the -regular tree in terms of the di…
On an approach for evaluating certain trigonometric character sums using the discrete time heat kernel
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
In this article we develop a general method by which one can explicitly evaluate certain sums of -th powers of products of elementary trigonometric functions evaluated…
An integer factorization algorithm which uses diffusion as a computational engine
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
In this article we develop an algorithm which computes a divisor of an integer , which is assumed to be neither prime nor the power of a prime. The algorithm uses discrete time…
Kronecker limit functions and an extension of the Rohrlich-Jensen formula
James Cogdell, Jay Jorgenson, Lejla Smajlovic
In 1984 Rohrlich proved a modular analogue of Jensen's formula. Under certain conditions, the Rohrlich-Jensen formula expresses an integral of the log-norm of…