Joint distribution of direction and length of typical I-segment in a homogeneous random planar tessellation stable under iteration

DOI10.3103/S1068362309010087zbMath1302.60027MaRDI QIDQ471036

J. Herrera, Sumit K. Garg

Publication date: 13 November 2014

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

stochastic geometryrandom tessellationiteration/nesting of tessellationsstability of distributions

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (2)

Unnamed Item ⋮ Inhomogeneous random planar tessellations generated by lines

Cites Work

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• Length distributions of edges in planar stationary and isotropic STIT tessellations
• Stochastic and Integral Geometry
• A note on pseudo-metrics on the plane
• Limits of sequences of stationary planar tessellations
• The iteration of random tessellations and a construction of a homogeneous process of cell divisions
• A global construction of homogeneous random planar tessellations that are stable under iteration
• Crack STIT tessellations: characterization of stationary random tessellations stable with respect to iteration

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