paper

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

arXiv:0807.1963

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.

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