On a conjecture of D. G. Kendall concerning the planar Crofton cell and on its Brownian counterpart

DOI10.1214/aop/1022855880zbMath0936.60009OpenAlexW1490040124WikidataQ122977601 ScholiaQ122977601MaRDI QIDQ1307462

André Goldman

Publication date: 1998

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

Full work available at URL: https://doi.org/10.1214/aop/1022855880

zbMATH Keywords

eigenvaluesPoisson line processrandom polygonsCrofton cellperimeter of the convex hull of Brownian motion

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Brownian motion (60J65) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Large deviations (60F10) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (8)

The limit shape of the zero cell in a stationary Poisson hyperplane tessellation. ⋮ Asymptotic Methods for Random Tessellations ⋮ Introduction to Stochastic Geometry ⋮ Random line tessellations of the plane: Statistical properties of many-sided cells ⋮ Asymptotic shape of small cells ⋮ Large Poisson-Voronoi cells and Crofton cells ⋮ Limit theorems for the typical Poisson-Voronoi cell and the Crofton cell with a large inradius ⋮ On a conjecture of D. G. Kendall concerning the planar Crofton cell and on its Brownian counterpart

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