3 papers
math.AP2024
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…
math.NT2024
Relations between Chebyshev, Fibonacci and Lucas polynomials via trigonometric sums
Lejla Smajlović, Zenan Šabanac, Lamija Šćeta
In this paper we derive some new identities involving the Fibonacci and Lucas polynomials and the Chebyshev polynomials of the first and the second kind. Our starting point is a fi…
math.AP2023
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 $…