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• W1982259723 abstract "Determinantal and permanental processes are point processes with a correlation function given by a determinant or a permanent. Their atoms exhibit mutual attraction of repulsion, thus these processes are very far from the uncorrelated situation encountered in Poisson models. We establish a quasi-invariance result: we show that if atom locations are perturbed along a vector field, the resulting process is still a determinantal (respectively permanental) process, the law of which is absolutely continuous with respect to the original distribution. Based on this formula, following Bismut approach of Malliavin calculus, we then give an integration by parts formula." @default.
• W1982259723 created "2016-06-24" @default.
• W1982259723 creator A5024280167 @default.
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• W1982259723 date "2010-07-01" @default.
• W1982259723 modified "2023-10-02" @default.
• W1982259723 title "Quasi-invariance and integration by parts for determinantal and permanental processes" @default.
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• W1982259723 doi "https://doi.org/10.1016/j.jfa.2010.01.007" @default.
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