Intrinsic correlation in planar Poisson line processes

DOI10.1016/j.aml.2009.01.005zbMath1179.60004OpenAlexW2081578806MaRDI QIDQ845612

William W. Sampson, Christopher T. J. Dodson

Publication date: 29 January 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: http://eprints.maths.manchester.ac.uk/1273/1/DodsonSampsonAML2009.pdf

zbMATH Keywords

correlationMonte Carlorandom polygonsPoisson lines

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Probability distributions: general theory (60E05)

Cites Work

• Unnamed Item
• Information geometry. Near randomness and near independence
• Modelling stochastic fibrous materials with Mathematica
• The various aggregates of random polygons determined by random lines in a plane
• Modeling a class of stochastic porous media
• A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons
• The proportion of quadrilaterals formed by random lines in a plane
• A heuristic proof of a long-standing conjecture of D. G. Kendall concerning the shapes of certain large random polygons
• RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE

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