Some Dirichlet Forms on Graphs as Traces of One-Dimensional Diffusions

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This paper explicitly computes the trace of one-dimensional diffusion processes on graphs as Dirichlet forms, analyzes their conservativeness, and provides a discretization example of Bessel's process.

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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 $\nu$.

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europepmc
last seen: 2026-05-19T01:45:01.086888+00:00