TY  - JOUR
A1  - Nehring, Benjamin
A1  - Poghosyan, Suren
A1  - Zessin, Hans
T1  - On the construction of point processes in statistical mechanics
JF  - Journal of mathematical physics
N2  - 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.
Y1  - 2013
U6  - https://doi.org/10.1063/1.4807724
SN  - 0022-2488
VL  - 54
IS  - 6
PB  - American Institute of Physics
CY  - Melville
ER  -