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Mixed Random Mosaics
Author(s) -
Santaló L. A.
Publication year - 1984
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.3211170108
Subject(s) - mathematics , polygon (computer graphics) , combinatorics , perimeter , random variable , discrete mathematics , geometry , statistics , computer science , telecommunications , frame (networking)
Cowan [2] has defined random mosaics processes RMP in R 2 and has given some basic properties of them. In particular Cowan introduces the fundamental parameters α, β k , γ k of the process and, in terms of them, he computes the mean values of the area α, perimeter h , number of ares w and number of vertices v of a typical polygon of the RMP. Our purpose is to consider the RMP obtained by superposition of two independent random mosaics. Then, the characteristics a 12 , h 12 , w 12 , v 12 of the resulting process are computed in terms of the characteristics a i , h i , w i , v i , of each process. The case of non random tessellations mixed with random mosaics is also considered.