WIAS Preprint No. 2414, (2017)
Gibbsian representation for point processes via hyperedge potentials
Authors
- Jahnel, Benedikt
ORCID: 0000-0002-4212-0065 - Külske, Christof
2010 Mathematics Subject Classification
- 82B21 60K35
Keywords
- Gibbsian point processes, Koslov theorem, Sullivan theorem, hyperedge potentials, Widom-Rowlinson model
DOI
Abstract
We consider marked point processes on the d-dimensional euclidean space, defined in terms of a quasilocal specification based on marked Poisson point processes. We investigate the possibility of constructing uniformly absolutely convergent Hamiltonians in terms of hyperedge potentials in the sense of Georgii [2]. These potentials are natural generalizations of physical multibody potentials which are useful in models of stochastic geometry.
Appeared in
- J. Electrochem. Soc., 34 (2021), pp. 391--417.
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