English

Energy image density property and the lent particle method for Poisson measures

Probability 2009-04-09 v3 Functional Analysis

Abstract

We introduce a new approach to absolute continuity of laws of Poisson functionals. It is based on the {\it energy image density} property for Dirichlet forms and on what we call {\it the lent particle method} which consists in adding a particle and taking it back after some calculation.

Keywords

Cite

@article{arxiv.0807.1963,
  title  = {Energy image density property and the lent particle method for Poisson measures},
  author = {Nicolas Bouleau and Laurent Denis},
  journal= {arXiv preprint arXiv:0807.1963},
  year   = {2009}
}

Comments

29p

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