Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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COMPUTATIONS AND CONSERVATIVENESS OF TRACES OF ONE-DIMENSIONAL DIFFUSIONS

  • Ali BenAmor (Institute of Transport and Logistics University of Sousse) ;
  • Rafed Moussa (Higher Institute of Information and Communication Technologies of Borj Cedria University of Carthage)
  • Received : 2022.05.25
  • Accepted : 2023.04.21
  • Published : 2023.07.01
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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 Bessel process of order ν.

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References

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