10.1063/1.4891992
Daletskii, Alexei
Alexei
Daletskii
Kondratiev, Yuri
Yuri
Kondratiev
Kozitsky, Yuri
Yuri
Kozitsky
Pasurek, Tatiana
Tatiana
Pasurek
Gibbs states on random configurations
American Institute Of Physics
2014
2014-11-10T10:21:38Z
2019-05-29T15:36:23Z
journal_article
https://pub.uni-bielefeld.de/record/2703487
https://pub.uni-bielefeld.de/record/2703487.json
Gibbs states of a spin system with the single-spin space S = R-m and unbounded pair interactions are studied. The spins are attached to the points of a realization gamma of a random point process in R-n. Under certain conditions on the model parameters we prove that, for almost all gamma, the set G(S-gamma) of all Gibbs states is nonempty and its elements have support properties, explicitly described in the paper. We also show the existence of measurable selections. gamma bar right arrow nu(gamma) is an element of(S-gamma) (random Gibbs measures) and the corresponding averaged moment estimates. (C) 2014 AIP Publishing LLC.