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Stochastic comparison of point random fields

Part of: Special processes Stochastic processes Equilibrium statistical mechanics

Published online by Cambridge University Press:  14 July 2016

Hans-Otto Georgii  and
Torsten Küneth
Hans-Otto Georgii*
Affiliation:
Universität München
Torsten Küneth*
Affiliation:
Universität München
*
∗Postal address: Mathematisches Institut der Universität München, Theresienstr. 39, D-80333 München, Germany. E-mail: georgii@rz.mathematik.uni-muenchen.de
∗Postal address: Mathematisches Institut der Universität München, Theresienstr. 39, D-80333 München, Germany. E-mail: georgii@rz.mathematik.uni-muenchen.de
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Abstract

We give an alternative proof of a point-process version of the FKG–Holley–Preston inequality which provides a sufficient condition for stochastic domination of probability measures, and for positive correlations of increasing functions.

Keywords

STOCHASTIC DOMINATIONFKG INEQUALITYCORRELATION INEQUALITIESGIBBS DISTRIBUTIONPOISSON POINT PROCESS

MSC classification

Primary: 60G55: Point processes
Secondary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory 82B21: Continuum models (systems of particles, etc.)
Type
Research Papers
Information
Journal of Applied Probability , Volume 34 , Issue 4 , December 1997 , pp. 868 - 881
Copyright
Copyright © Applied Probability Trust 1997 

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