The random connection model and functions of edge-marked Poisson processes: second order properties and normal approximation

DOI10.1214/20-AAP1585zbMath1476.60053arXiv1808.01203OpenAlexW3137779866MaRDI QIDQ2240811

Franz Nestmann, Günter Last, Matthias Schulte

Publication date: 4 November 2021

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01203

zbMATH Keywords

central limit theoremPoisson processcovariance structurerandom geometric graphrandom connection modelGilbert graphcomponent countedge marking

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Random graphs (graph-theoretic aspects) (05C80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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Random connection models in the thermodynamic regime: central limit theorems for add-one cost stabilizing functionals ⋮ Random walk on the random connection model ⋮ On the uniqueness of Gibbs distributions with a non-negative and subcritical pair potential ⋮ Multivariate central limit theorems for random simplicial complexes ⋮ The age-dependent random connection model

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