TY - JOUR A1 - Nehring, Benjamin A1 - Rafler, Mathias A1 - Zessin, Hans T1 - Splitting-characterizations of the Papangelou process JF - Mathematische Nachrichten N2 - 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 KW - Papangelou processes KW - characterization of point processes KW - independent splittings KW - Gibbs processes Y1 - 2016 U6 - https://doi.org/10.1002/mana.201400384 SN - 0025-584X SN - 1522-2616 VL - 289 SP - 85 EP - 96 PB - Wiley-VCH CY - Weinheim ER -