2 papers
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…
math.AP2024
Constructing heat kernels on infinite graphs
Jay Jorgenson, Anders Karlsson, Lejla SmajloviÄ
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…