Electronic Communications in Probability
- Electron. Commun. Probab.
- Volume 21 (2016), paper no. 10, 11 pp.
Variational principle for Gibbs point processes with finite range interaction
The variational principle for Gibbs point processes with general finite range interaction is proved. Namely, the Gibbs point processes are identified as the minimizers of the free excess energy equals to the sum of the specific entropy and the mean energy. The interaction is very general and includes superstable pairwise potential, finite or infinite multibody potential, geometrical interaction, hardcore interaction. The only restrictive assumption involves the finite range property.
Electron. Commun. Probab. Volume 21 (2016), paper no. 10, 11 pp.
Received: 16 June 2015
Accepted: 18 January 2016
First available in Project Euclid: 15 February 2016
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Dereudre, David. Variational principle for Gibbs point processes with finite range interaction. Electron. Commun. Probab. 21 (2016), paper no. 10, 11 pp. doi:10.1214/16-ECP4368. https://projecteuclid.org/euclid.ecp/1455560034.