On the construction of point processes in statistical mechanics

Nehring B, Poghosyan S, Zessin HN (2013)
Journal Of Mathematical Physics 54(6).

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Nehring, Benjamin; Poghosyan, Suren; Zessin, Hans NorbertUniBi
Abstract / Bemerkung
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. (C) 2013 AIP Publishing LLC.
Erscheinungsjahr
2013
Zeitschriftentitel
Journal Of Mathematical Physics
Band
54
Ausgabe
6
ISSN
0022-2488
Page URI
https://pub.uni-bielefeld.de/record/2622349

Zitieren

Nehring B, Poghosyan S, Zessin HN. On the construction of point processes in statistical mechanics. Journal Of Mathematical Physics. 2013;54(6).
Nehring, B., Poghosyan, S., & Zessin, H. N. (2013). On the construction of point processes in statistical mechanics. Journal Of Mathematical Physics, 54(6). doi:10.1063/1.4807724
Nehring, B., Poghosyan, S., and Zessin, H. N. (2013). On the construction of point processes in statistical mechanics. Journal Of Mathematical Physics 54.
Nehring, B., Poghosyan, S., & Zessin, H.N., 2013. On the construction of point processes in statistical mechanics. Journal Of Mathematical Physics, 54(6).
B. Nehring, S. Poghosyan, and H.N. Zessin, “On the construction of point processes in statistical mechanics”, Journal Of Mathematical Physics, vol. 54, 2013.
Nehring, B., Poghosyan, S., Zessin, H.N.: On the construction of point processes in statistical mechanics. Journal Of Mathematical Physics. 54, (2013).
Nehring, Benjamin, Poghosyan, Suren, and Zessin, Hans Norbert. “On the construction of point processes in statistical mechanics”. Journal Of Mathematical Physics 54.6 (2013).

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