Version 1
: Received: 31 May 2020 / Approved: 31 May 2020 / Online: 31 May 2020 (21:05:36 CEST)
Version 2
: Received: 11 August 2020 / Approved: 20 August 2020 / Online: 20 August 2020 (03:49:03 CEST)
How to cite:
Moussa, R. Some Dirichlet Forms on Graphs as Traces of One-Dimensional Diffusions. Preprints2020, 2020050513. https://doi.org/10.20944/preprints202005.0513.v1
Moussa, R. Some Dirichlet Forms on Graphs as Traces of One-Dimensional Diffusions. Preprints 2020, 2020050513. https://doi.org/10.20944/preprints202005.0513.v1
Moussa, R. Some Dirichlet Forms on Graphs as Traces of One-Dimensional Diffusions. Preprints2020, 2020050513. https://doi.org/10.20944/preprints202005.0513.v1
APA Style
Moussa, R. (2020). Some Dirichlet Forms on Graphs as Traces of One-Dimensional Diffusions. Preprints. https://doi.org/10.20944/preprints202005.0513.v1
Chicago/Turabian Style
Moussa, R. 2020 "Some Dirichlet Forms on Graphs as Traces of One-Dimensional Diffusions" Preprints. https://doi.org/10.20944/preprints202005.0513.v1
Abstract
We compute explicitly trace of one-dimensional diffusion process which can be regarded as a Dirichlet form on graphs and we study its conservativeness property. Finally, we give an example of a discretization of one dimensional diffusion of Bessel's process with order $\nu$.
Keywords
Dirichlet forms; trace operator; diffusion processes; Sturm-Liouville problem
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
