Abstract
The purpose of this paper is to generalize Holley’s inequalities in the case of an attractive potential U associated with a Gibbs measure μ defined on ℤd. The main idea is to consider U as a strongly supermodular potential. Next, using coupling techniques, we obtain new inequalities for the correlation function ρ of the Gibbs measure. Finally, we give a non-physical application of Gibbs measures by studying an epidemiological problem concerning the withering of oak trees in a French department.
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© 1983 ACADEMIA, Publishing House of the Czechoslovak Academy of Sciences, Prague
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Demongeot, J. (1983). Coupling of Markov Processes and Holley’s Inequalities for Gibbs Measures Statistical Application of Gibbs Measures. In: Transactions of the Ninth Prague Conference. Czechoslovak Academy of Sciences, vol 9A. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7013-7_20
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DOI: https://doi.org/10.1007/978-94-009-7013-7_20
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-7015-1
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