The proportion of triangles in a class of anisotropic Poisson line tessellations

DOI10.1017/jpr.2023.45arXiv2209.14121OpenAlexW4385635643MaRDI QIDQ6198971

Unnamed Author, Christoph Thäle, Unnamed Author

Publication date: 23 February 2024

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

Full work available at URL: https://arxiv.org/abs/2209.14121

zbMATH Keywords

stochastic geometryPoisson line tessellationtypical cellrandom triangletriangle probability

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05)

Cites Work

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• Second moments related to Poisson hyperplane tessellations
• The various aggregates of random polygons determined by random lines in a plane
• Cells with many facets in a Poisson hyperplane tessellation
• Typical cells in Poisson hyperplane tessellations
• The proportion of quadrilaterals formed by random lines in a plane
• Sines and Cosines of Angles in Arithmetic Progression
• Weighted faces of Poisson hyperplane tessellations
• Sampling random polygons
• Mean Values of Weighted Cells of Stationary Poisson Hyperplane Tessellations of IRd
• Precise formulae for the distributions of the principal geometric characteristics of the typical cells of a two-dimensional Poisson-Voronoi tessellation and a Poisson line process
• Inequalities for the anisotropic Poisson polytope
• Weak Convergence of Measures
• RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE

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