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- W1985416405 abstract "The distribution µ of a Poisson cluster process in X = R d (with n-point clusters) is studied via the projection of an auxiliary Poisson measure in the space of configurations in X n , with the intensity measure being the convolution of the background intensity (of cluster centres) with the probability distribution of a generic cluster. We show that µ is quasi-invariant with respect to the group of compactly supported diffeomorphisms of X , and prove an integration by parts formula for µ. The corresponding equilibrium stochastic dynamics is then constructed using the method of Dirichlet forms." @default.
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- W1985416405 date "2008-01-01" @default.
- W1985416405 modified "2023-09-26" @default.
- W1985416405 title "Equilibrium stochastic dynamics of Poisson cluster ensembles" @default.
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