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- W2032962640 abstract "Consider a discrete locally finite subset Γ of documentclass[12pt]{minimal}begin{document}${mathbb R}^d$end{document}Rd and the complete graph (Γ, E), with vertices Γ and edges E. We consider Gibbs measures on the set of sub-graphs with vertices Γ and edges E′⊂E. The Gibbs interaction acts between open edges having a vertex in common. We study percolation properties of the Gibbs distribution of the graph ensemble. The main results concern percolation properties of the open edges in two cases: (a) when Γ is sampled from a homogeneous Poisson process; and (b) for a fixed Γ with sufficiently sparse points." @default.
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- W2032962640 date "2010-11-01" @default.
- W2032962640 modified "2023-09-25" @default.
- W2032962640 title "Gibbs random graphs on point processes" @default.
- W2032962640 cites W1981305411 @default.
- W2032962640 doi "https://doi.org/10.1063/1.3514605" @default.
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