Marked Gibbs Point Processes with Unbounded Interaction: An Existence Result
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DOI: 10.1007/s10955-020-02559-3
Abstract: We construct marked Gibbs point processes in $${\mathbb {R}}^d$$ R d under quite general assumptions. Firstly, we allow for interaction functionals that may be unbounded and whose range is not assumed to be uniformly bounded.… read more here.
Keywords: point processes; processes unbounded; marked gibbs; interaction ... See more keywords
Cluster Expansions for GIBBS Point Processes
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DOI: 10.1017/apr.2019.46
Abstract: Abstract We provide a sufficient condition for the uniqueness in distribution of Gibbs point processes with non-negative pairwise interaction, together with convergent expansions of the log-Laplace functional, factorial moment densities and factorial cumulant densities (correlation… read more here.
Keywords: point processes; gibbs point; cluster expansions; expansions gibbs ... See more keywords