Turkish Journal of Mathematics
Author ORCID Identifier
YANG CHEN: 0009-0002-7364-5777
JAY JORGENSON: 0000-0002-9765-0944
LUIS LOPEZ: 0009-0007-5192-7163
LEJLA SMAJLOVIC: 0000-0002-2709-5535
Abstract
Let G be a finite, weighted graph, and let [[EQUATION]] be a Time-scale with a fixed point [[EQUATION]] such that sup[[EQUATION]]. In this paper we construct the heat kernel on G in Time-scale [[EQUATION]] in terms of a certain convolution series involving he heat operator acting on a parametrix, which is a fairly general function depending on the vertex set of G and the time variable [[EQUATION]]. We develop some applications by choosing different parametrices and various Time-scales. The results we obtain here do extend, in part, aspects of the recent articles in that the Time-scale considered in this paper is arbitrary.
DOI
10.55730/1300-0098.3544
Keywords
Heat kernel, finite graph, time-scales
First Page
840
Last Page
860
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
CHEN, Y, JORGENSON, J, LOPEZ, L, & SMAJLOVIC, L (2024). The heat kernel on a finite graph in different Time-scales. Turkish Journal of Mathematics 48 (5): 840-860. https://doi.org/10.55730/1300-0098.3544
