Improper Poisson line process as SIRSN in any dimension

DOI10.1214/15-AOP1032zbMath1366.60027arXiv1503.03976MaRDI QIDQ317480

Jonas Kahn

Publication date: 30 September 2016

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

Full work available at URL: https://arxiv.org/abs/1503.03976

zbMATH Keywords

geodesicscale invariancespatial networkPoisson line processSIRSN

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Stochastic network models in operations research (90B15) Metric geometry (51F99) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (1)

Rayleigh random flights on the Poisson line SIRSN

Cites Work

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• Scale-invariant random spatial networks
• True scale-invariant random spatial networks
• Short-length routes in low-cost networks via Poisson line patterns
• Some Properties of Stationary Flows of Homogeneous Random Events

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