Geodesics and flows in a Poissonian city

DOI10.1214/10-AAP724zbMath1226.60014arXiv0910.5115MaRDI QIDQ549856

Wilfrid S. Kendall

Publication date: 19 July 2011

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

Full work available at URL: https://arxiv.org/abs/0910.5115

zbMATH Keywords

subordinatorPalm distributionLévy processtraffic flowMills ratiospannerspatial networkPoisson line processperpetuitymartingale central limit theoremgrowth processDufresne integralfrustrated optimizationgeometric spanner networkimproper anisotropic Poisson line processLamperti transformationLaplace exponentlogarithmic excessManhattan city networkmark distributionnetwork geodesicPoissonian city networkSlivynak theoremuniform integrability.

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Stochastic network models in operations research (90B15)

Related Items

Continuity results and estimates for the Lyapunov exponent of Brownian motion in stationary potential ⋮ Shape theorem and surface fluctuation for Poisson cylinders ⋮ Return to the Poissonian city

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