On the statistics of area size in two-dimensional thick Voronoi diagrams

Mario Ferraro and Lorenzo Zaninetti

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 20, 4575-4582

Abstract: Cells of Voronoi diagrams in two dimensions are usually considered as having edges of zero width. However, this is not the case in several experimental situations in which the thickness of the edges of the cells is relatively large. In this paper, the concept of a thick Voronoi tessellation, that is with edges of non-zero width, is introduced and the statistics of cell areas, as thickness changes, are analyzed.

Keywords: 02.50.Ey, Stochastic processes; 02.50.Ng, Distribution theory and Monte Carlo studies; 89.75.Kd, Patterns; 89.75.Fb, Structures and organization in complex systems (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:20:p:4575-4582

DOI: 10.1016/j.physa.2012.05.029

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