Submitted:
31 May 2020
Posted:
31 May 2020
Read the latest preprint version here
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.
