Preprint
Article
Some Dirichlet Forms on Graphs as Traces of One-Dimensional Diffusions
This version is not peer-reviewed.
Submitted:
31 May 2020
Posted:
31 May 2020
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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
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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