TY  - JOUR
A1  - Nehring, Benjamin
A1  - Zessin, Hans
T1  - The Papangelou process a concept for gibbs, fermi and bose processes
JF  - Journal of contemporary mathematical analysis
N2  - 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.
KW  - Papangelou process
KW  - Polya sum
KW  - Polya difference process
Y1  - 2011
U6  - https://doi.org/10.3103/S1068362311060069
SN  - 1068-3623
VL  - 46
IS  - 6
SP  - 326
EP  - 337
PB  - Allerton
CY  - New York
ER  -