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A criterion of density for solutions of Poisson-driven SDEs
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  • Published: November 2000

A criterion of density for solutions of Poisson-driven SDEs

  • Laurent Denis1 

Probability Theory and Related Fields volume 118, pages 406–426 (2000)Cite this article

Abstract.

We construct a Dirichlet structure related to a Poisson measure on ℝ+×M, where M is a general measured space, with compensator dt⊗dv. We obtain a criterion of density for variables in the domain of the Dirichlet form and we apply it to S.D.E. driven by this Poisson measure.

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Authors and Affiliations

  1. Département de Mathématiques, Laboratoire de Statistique et Processus, Université du Maine, Avenue Olivier Messiaen, 72085 Le Mans Cedex 9, France. e-mail: ldenis@univ-lemans.fr, , , , , , FR

    Laurent Denis

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  1. Laurent Denis
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Received: 15 May 1999 / Revised version: 23 February 2000 / Published online: 12 October 2000

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Denis, L. A criterion of density for solutions of Poisson-driven SDEs. Probab Theory Relat Fields 118, 406–426 (2000). https://doi.org/10.1007/PL00008748

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  • Issue Date: November 2000

  • DOI: https://doi.org/10.1007/PL00008748

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Keywords

  • Measured Space
  • Dirichlet Form
  • Poisson Measure
  • General Measured Space
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