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MaPhySto
Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 1999-12
March 1999




Packing Densities and Simulated Tempering for Hard Core Gibbs Point Processes

by:

Jesper Møller

S. Mase, D. Stoyan, R. P. Waagepetersen, G. Döge

Abstract

Certain monotonicity and convergence properties of the intensity of local and global hard core Gibbs point processes are investigated and compared to the closest packing density. For such processes simulated tempering is shown to be an efficient alternative to commonly used Markov chain Monte Carlo algorithms. We study empirically the behaviour of the area fraction and various spatial characteristics of the pure hard core process using samples obtained with the simulated tempering algorithm.

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This paper has now been published in Annals of the Institute of Statistical Mathematics 53 (2001), 661-680