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

Energy image density property and the lent particle method for Poisson measures
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DOI:
10.1016/j.jfa.2009.03.004
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发表时间:
2008-07
期刊:
arXiv: Probability
影响因子:
--
通讯作者:
N. Bouleau;L. Denis
N. Bouleau;L. Denis
中科院分区:
其他
文献类型:
--
作者:
N. Bouleau;L. Denis

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介绍了泊松泛函定律绝对连续性的一种新方法。它基于Dirichlet形式的能量像密度性质。相关的梯度是一个局部运算符,并产生了一个很好的公式,称为借出粒子法,它包括添加一个粒子,并在一些计算后将其取回。
We introduce a new approach to absolute continuity of laws of Poisson functionals. It is based on the energy image density property for Dirichlet forms. The associated gradient is a local operator and gives rise to a nice formula called the lent particle method which consists in adding a particle and taking it back after some calculation.