3 papers
math.SP2026
Diffusion Computation versus Quantum Computation: A Comparative Model for Order Finding and Factoring
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
We study a hybrid computational model for integer factorization in which the only non-classical resource is access to an \emph{iterated diffusion process} on a finite graph. Concre…
math.NT2025
On a generating function of Niebur-Poincaré series
Kathrin Bringmann, Jay Jorgenson, Lejla Smajlović
Let be a Fuchsian group of the first kind which has a cusp of width one. In this paper, we first consider a generating function formed with t…
math-ph2024
The discrete analogue of the Gaussian
Gautam Chinta, Jay Jorgenson, Anders Karlsson +1
This paper illustrates the utility of the heat kernel on as the discrete analogue of the Gaussian density function. It is the two-variable function $K_{\mathbb{Z}}(t,x…