Distributional properties of the typical cell of stationary iterated tessellations
type: Item
instance of: scholarly article
title: Distributional properties of the typical cell of stationary iterated tessellations
zbMATH Open document ID: 1065.60008
author: Roland Maier
author: Johannes Mayer
author: Volker Schmidt
published in: Mathematical Methods of Operations Research
publication date: 2005-02-11T00:00:00Z
review text: Distributional properties of the typical cell of stationary iterated tessellations are considered. A simulation algorithm without considerations of limits in space is provided to estimate the probability densities of geometric characteristics of the typical cell of stationary iterated tessellations. Main attention is paid to the superposition and nesting of the stationary Poisson line tessellations or stationary Poisson-Voronoi tessellations. Some numerical examples and histograms of related frequencies of the number of vertices, the perimeter and the area of the corresponding typical cells are presented and discussed.
Mathematics Subject Classification ID: 60D05
Mathematics Subject Classification ID: 60G55
Mathematics Subject Classification ID: 68U20
zbMATH DE Number: 2133465
zbMATH Keywords: stationary iterated tessellation
zbMATH Keywords: Poisson Voronoi tessellation
zbMATH Keywords: Poisson line tessellation
zbMATH Keywords: simulation
MaRDI profile type: Publication
full work available at URL: s001860300326
OpenAlex ID: W1983436429
DOI: 10.1007/S001860300326
description: scientific article; zbMATH DE number 2133465