@article{NehringRaflerZessin2016,
  author    = {Nehring, Benjamin and Rafler, Mathias and Zessin, Hans},
  title     = {Splitting-characterizations of the Papangelou process},
  series = {Mathematische Nachrichten},
  volume    = {289},
  journal   = {Mathematische Nachrichten},
  publisher = {Wiley-VCH},
  address   = {Weinheim},
  issn      = {0025-584X},
  doi       = {10.1002/mana.201400384},
  pages     = {85 -- 96},
  year      = {2016},
  abstract  = {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},
  language  = {en}
}
@article{NehringZessin2011,
  author    = {Nehring, Benjamin and Zessin, Hans},
  title     = {The Papangelou process a concept for gibbs, fermi and bose processes},
  series = {Journal of contemporary mathematical analysis},
  volume    = {46},
  journal   = {Journal of contemporary mathematical analysis},
  number    = {6},
  publisher = {Allerton},
  address   = {New York},
  issn      = {1068-3623},
  doi       = {10.3103/S1068362311060069},
  pages     = {326 -- 337},
  year      = {2011},
  abstract  = {This note is a revised and enlarged version of the german article [16] in a slightly different framework. We here correct a serious mistake in the first version and generalize the class of Polya sum processes considered there. (A corrected version of the same results can be found already in the thesis of Mathias Rafler [12].) Moreover, the class of Polya difference processes is constructed here for the first time. In analogy to classical statistical mechanics we propose a theory of interacting Bosons and Fermions. We consider Papangelou processes. These are point processes specified by some kernel which represents the conditional intensity of the process. The main result is a general construction of a large class of such processes which contains Cox, Gibbs processes of classical statistical mechanics, but also interacting Bose and Fermi processes.},
  language  = {en}
}
@article{NehringZessin2012,
  author    = {Nehring, Benjamin and Zessin, Hans},
  title     = {A representation of the moment measures of the general ideal Boe gas},
  series = {Mathematische Nachrichten},
  volume    = {285},
  journal   = {Mathematische Nachrichten},
  number    = {7},
  publisher = {Wiley-VCH},
  address   = {Weinheim},
  issn      = {0025-584X},
  doi       = {10.1002/mana.201000111},
  pages     = {878 -- 888},
  year      = {2012},
  abstract  = {We reconsider the fundamental work of Fichtner 2 and exhibit the permanental structure of the ideal Bose gas again, using a new approach which combines a characterization of infinitely divisible random measures (due to Kerstan, Kummer and Matthes 4, 6 and Mecke 9, 10) with a decomposition of the moment measures into its factorial measures due to Krickeberg 5. To be more precise, we exhibit the moment measures of all orders of the general ideal Bose gas in terms of certain loop integrals. This representation can be considered as a point process analogue of the old idea of Symanzik 15 that local times and self-crossings of the Brownian motion can be used as a tool in quantum field theory. Behind the notion of a general ideal Bose gas there is a class of infinitely divisible point processes of all orders with a Levy-measure belonging to some large class of measures containing that of the classical ideal Bose gas considered by Fichtner. It is well-known that the calculation of moments of higher order of point processes is notoriously complicated. See for instance Krickebergs calculations for the Poisson or the Cox process in 5. Relations to the work of Shirai, Takahashi 12 and Soshnikov 14 on permanental and determinantal processes are outlined.},
  language  = {en}
}
@article{Nehring2013,
  author    = {Nehring, Benjamin},
  title     = {Construction of point processes for classical and quantum gases},
  series = {Journal of mathematical physics},
  volume    = {54},
  journal   = {Journal of mathematical physics},
  number    = {5},
  publisher = {American Institute of Physics},
  address   = {Melville},
  issn      = {0022-2488},
  doi       = {10.1063/1.4807080},
  pages     = {11},
  year      = {2013},
  abstract  = {We propose a construction of point processes via the method of cluster expansion. The important role of the class of infinitely divisible point processes is noted. Examples are permanental and determinantal processes as well as the classical Gibbs point processes, where the interaction is given by a stable and regular pair potential.},
  language  = {en}
}
@article{NehringPoghosyanZessin2013,
  author    = {Nehring, Benjamin and Poghosyan, Suren and Zessin, Hans},
  title     = {On the construction of point processes in statistical mechanics},
  series = {Journal of mathematical physics},
  volume    = {54},
  journal   = {Journal of mathematical physics},
  number    = {6},
  publisher = {American Institute of Physics},
  address   = {Melville},
  issn      = {0022-2488},
  doi       = {10.1063/1.4807724},
  pages     = {15},
  year      = {2013},
  abstract  = {We present a new approach to the construction of point processes of classical statistical mechanics as well as processes related to the Ginibre Bose gas of Brownian loops and to the dissolution in R-d of Ginibre's Fermi-Dirac gas of such loops. This approach is based on the cluster expansion method. We obtain the existence of Gibbs perturbations of a large class of point processes. Moreover, it is shown that certain "limiting Gibbs processes" are Gibbs in the sense of Dobrushin, Lanford, and Ruelle if the underlying potential is positive. Finally, Gibbs modifications of infinitely divisible point processes are shown to solve a new integration by parts formula if the underlying potential is positive.},
  language  = {en}
}