Variational principle for Gibbs point processes with finite range interaction

Electronic Communications in Probability

David Dereudre

学科分类：统计和概率

来源: Institute of Mathematical Statistics

【 摘 要 】

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.

【 授权许可】

CC BY