Splitting‐characterizations of the Papangelou process

Benjamin Nehring,Mathias Rafler,Hans Zessin

MATHEMATISCHE NACHRICHTEN（2016）

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摘要

For point processes we establish a link between integration-by-parts-and splitting-formulas which can also be considered as integration-by-parts-formulas of a new type. First we characterize finite Papangelou processes in terms of their splitting kernels. The main part then consists in extending these results to the case of infinitely extended Papangelou and, in particular, Polya and Gibbs processes. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

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关键词

Papangelou processes,characterization of point processes,independent splittings,Gibbs processes

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