Large deviations and the maximum entropy principle for marked point random fields
type: Item
instance of: scholarly article
title: Large deviations and the maximum entropy principle for marked point random fields
zbMATH Open document ID: 0792.60024
DOI: 10.1007/BF01192132
author: Hans-Otto Georgii
author: Hans Zessin
publication date: 1994-07-24T00:00:00Z
review text: We establish large deviation principles for the stationary and the individual empirical fields of Poisson, and certain interacting, random fields of marked point particles in \(\mathbb{R}^ d\). The underlying topologies are induced by a class of not necessarily bounded local functions, and thus finer than the usual weak topologies. Our methods yield further that the limiting behaviour of conditional Poisson distributions, as well as certain distributions of Gibbsian type, is governed by the maximum entropy principle. We also discuss various applications and examples.
Mathematics Subject Classification ID: 60F10
Mathematics Subject Classification ID: 60G55
zbMATH DE Number: 569087
zbMATH Keywords: large deviation principles
zbMATH Keywords: random fields of marked point particles
zbMATH Keywords: maximum entropy principle
MaRDI profile type: Publication
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published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 569087