Stochastic comparison of point random fields

Hans-Otto Georgii, Torsten Küneth

Type: Article

Publication Date: 1997-12-01

Citations: 44

DOI: https://doi.org/10.2307/3215003

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.

Locations

Journal of Applied Probability - View
CiteSeer X (The Pennsylvania State University) - View - PDF

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+	Disagreement percolation for Gibbs ball models	2018	Christoph Hofer-Temmel Pierre Houdebert
+ PDF Chat	The random geometry of equilibrium phases	2001	Hans-Otto Georgii Olle Häggström Christian Maes
+	Almost sure behavior of functionals of stationary Gibbs point processes	2014	Jean‐François Coeurjolly
+	Stochastic order for alpha-permanental point processes	2011	Nathalie Eisenbaum
+	Some remarks on associated random fields, random measures and point processes	2019	Guenter Last Ryszard Szekli D. Yogeshwaran
+ PDF Chat	Gibbs states over the cone of discrete measures	2013	Dennis Hagedorn Yuri Kondratiev Tanja Pasurek Michael Röckner
+ PDF Chat	Phase Transitions in Delaunay Potts Models	2015	Stefan Adams Michael Eyers
+ PDF Chat	Conditional Intensity and Gibbsianness of Determinantal Point Processes	2005	Hans-Otto Georgii Hyun Jae Yoo
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Works Cited by This (13)

Action	Title	Year	Authors
+	Statistical Mechanics: Rigorous Results	1969	David Ruelle
+	Bemerkungen zu einer Arbeit von NGUYEN XUAN XANH und HANS ZESSIN	1979	Klaus Matthes Walter Warmuth Joseph Mecke
+ PDF Chat	Generalised Holley-Preston inequalities on measure spaces and their products	1980	C. J. K. Batty H. W. Bollmann
+	Bounds on the distributions of extremal values of a scanning process	1984	Svante Janson
+	A generalization of the FKG inequalities	1974	C.J. Preston
+ PDF Chat	Phase transition in continuum Potts models	1996	Hans-Otto Georgii Olle Häggström
+	On a continuum percolation model	1991	Mathew D. Penrose
+	A lower bound for the critical probability in a certain percolation process	1960	T. E. Harris
+ PDF Chat	Area-interaction point processes	1995	Adrian Baddeley M. N. M. van Lieshout
+ PDF Chat	Correlation inequalities on some partially ordered sets	1971	C.M. Fortuin Piet Kasteleyn J. Ginibre