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math.PR2022
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…
math.CO2022
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…