Preprint
Article
Some Dirichlet Forms on Graphs as Traces of One-Dimensional Diffusions
This version is not peer-reviewed.
Submitted:
11 August 2020
Posted:
20 August 2020
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Abstract
We compute explicitly traces of one-dimensional diffusion processes. The obtained trace forms can be regarded as Dirichlet forms on graphs. Then we discuss conditions ensuring the trace forms to be conservative. Finally, the obtained results are applied to the one-dimensional diffusion related to the Bessel’s process of order $\nu$.
Keywords:
Dirichlet forms
; conservativeness
; diffusion processes
; graphs
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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