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Bernoulli cluster field: Voronoi tessellations
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SYSNO ASEP 0175145 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Bernoulli cluster field: Voronoi tessellations Author(s) Saxl, Ivan (MU-W) RID, SAI
Ponížil, P. (CZ)Source Title Applications of Mathematics. - : Springer - ISSN 0862-7940
Roč. 47, č. 2 (2002), s. 157-167Number of pages 11 s. Action Programs and Algorithms of Numerical Mathematics (PANMď00) Event date 12.06.2000-16.06.2000 VEvent location Lázně Libverda Country CZ - Czech Republic Event type EUR Language eng - English Country CZ - Czech Republic Keywords cluster point process%Voronoi tessellation%induced tessellation Subject RIV BE - Theoretical Physics R&D Projects GA201/99/0269 GA ČR - Czech Science Foundation (CSF) PG96108 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Annotation A new point process is proposed which can be viewed either as a Boolean cluster model with two cluster modes or as p-thinned Neyman-Scott cluster process with the retention of the original parent point. Voronoi tessellation generated by such a point process has extremely high coefficients of variation of cell volumes as well as of profile areas and lengths in the planar and line induced tessellations. An approximate numerical model of tessellation characteristics is developed for the case of small cluster.. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2003
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