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• W3103800159 abstract "We study a stationary Gibbs particle process with deterministically bounded particles on Euclidean space defined in terms of an activity parameter and non-negative interaction potentials of finite range. Using disagreement percolation we prove exponential decay of the correlation functions, provided a dominating Boolean model is subcritical. We also prove this property for the weighted moments of a U-statistic of the process. Under the assumption of a suitable lower bound on the variance, this implies a central limit theorem for such U-statistics of the Gibbs particle process. A byproduct of our approach is a new uniqueness result for Gibbs particle processes." @default.
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• W3103800159 date "2020-09-01" @default.
• W3103800159 modified "2023-09-26" @default.
• W3103800159 title "Decorrelation of a class of Gibbs particle processes and asymptotic properties of <i>U</i>-statistics" @default.
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• W3103800159 doi "https://doi.org/10.1017/jpr.2020.51" @default.
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