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J. Korean Math. Soc. 2023; 60(4): 779-797
Online first article June 8, 2023 Printed July 1, 2023
https://doi.org/10.4134/JKMS.j220258
Copyright © The Korean Mathematical Society.
Computations and conservativeness of traces of one-dimensional diffusions
Ali BENAMOR, Rafed MOUSSA
University of Sousse; University of Carthage
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 Bessel process of order $\nu$.
Keywords: Dirichlet forms, conservativeness, diffusion processes
MSC numbers: Primary 31C25, 46C07, 47D07, 60J50
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