4 papers
Resultants, Recursive Formulas and Binet Formulas for Verlinde Sums
Jay Jorgenson, Anders Karlsson, Lejla Smajlović
We study Verlinde sums , which for our purposes are finite sums of trigonometric functions , associated to . In this article we prove the fo…
Evaluating Verlinde sums using spectral graph theory
Jay Jorgenson, Anders Karlsson, Lejla Smajlović
We realize the Verlinde sums , up to an explicit factor, as the values at of the spectral zeta function of a higher-order Laplace operator on the trian…
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…
Constructing heat kernels on infinite graphs
Jay Jorgenson, Anders Karlsson, Lejla Smajlović
Let be an infinite, edge- and vertex-weighted graph with certain reasonable restrictions. We construct the heat kernel of the associated Laplacian using an adaptation of the pa…