Research output: Contribution to journal › Article

Journal | Russian journal of mathematical physics |
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Date | Published - Dec 2007 |

Issue number | 4 |

Volume | 14 |

Number of pages | 12 |

Pages (from-to) | 397-408 |

Original language | English |

The distribution mu of a Gibbs cluster point process in X = R-d ( with n-point clusters) is studied via the projection of an auxiliary Gibbs measure defined on the space of configurations in X x X-n. We show that mu is quasi-invariant with respect to the group Diff(0)(X) of compactly supported diffeomorphisms of X and prove an integration-by-parts formula for mu. The corresponding equilibrium stochastic dynamics is then constructed by using the method of Dirichlet forms.

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