On the one dimensional Poisson random geometric graph

DOI10.1155/2011/350382zbMath1239.60085arXiv1008.5140OpenAlexW2084549508WikidataQ58692012 ScholiaQ58692012MaRDI QIDQ642436

Laurent Decreusefond, E. Ferraz

Publication date: 26 October 2011

Published in: Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.5140

zbMATH Keywords

Poisson processqueueing systemsservice systems

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (3)

Concentration for Poisson functionals: component counts in random geometric graphs ⋮ Concentration for Poisson \(U\)-statistics: subgraph counts in random geometric graphs ⋮ Simplicial Homology of Random Configurations

Cites Work

• Limit theorems for Betti numbers of random simplicial complexes
• Random geometric complexes
• Asymptotics for sums of random variables with local subexponential behaviour
• Coordinate-free Coverage in Sensor Networks with Controlled Boundaries via Homology
• On multiple covering of a circle with random arcs
• Covering the circle with random arcs of random sizes
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