Large deviations for lattice systems. I: Parametrized independent fields
type: Item
instance of: scholarly article
title: Large deviations for lattice systems. I: Parametrized independent fields
zbMATH Open document ID: 0792.60025
DOI: 10.1007/BF01192135
author: Timo Seppäläinen
publication date: 1994-06-06T00:00:00Z
review text: We prove large deviation theorems for empirical measures of independent random fields whose distributions depend measurably on an auxiliary parameter. This dependence respects the action of the shift group, and a large deviation principle holds whenever a certain ergodicity condition is satisfied. We also investigate the entropy functions for these processes, especially in relation to the usual relative entropy.
Mathematics Subject Classification ID: 60F10
Mathematics Subject Classification ID: 60G60
zbMATH DE Number: 569090
zbMATH Keywords: large deviation theorems
zbMATH Keywords: empirical measures
zbMATH Keywords: shift group
zbMATH Keywords: entropy functions
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01192135
OpenAlex ID: W175198562
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 569090