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International Conference on Statistics, Combinatorics and Related Areas - 7th International Conference of the Forum for Interdisciplinary Mathematics
December 19-21, 2000
Indian Institute of Technology-Bombay
Mumbai, Maharastra, India

Organizers
Satya N. Mishra (University of South Alabama), Sanjeev V. Sabnis (IIT, Bombay)

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A limiting property of of intensities of hard-core Gibbs point processes
by
Shigeru Mase
Tokyo Institute of Technology,Tokyo 152-8850 JAPAN

Gibbs point processes are the most important class of spatial point processes. We show that the intensities of Gibbs point processes with hard-core potentials attain the closed packing density of the space as the activity goes to the infinity. The proof uses the so-called variational characterization of Gibbs distributions, a famous relation in the statistical physics, which shows that Gibbs distributions have an extremal property with respect to the entropy.

Date received: October 12, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafr-36.