Symmetry-Break in Voronoi Tessellations
نویسندگان
چکیده
منابع مشابه
Symmetry-Break in Voronoi Tessellations
We analyse in a common framework the properties of the Voronoi tessellations resulting from regular 2D and 3D crystals and those of tessellations generated by Poisson distributions of points, thus joining on symmetry breaking processes and the approach to uniform random distributions of seeds. We perturb crystalline structures in 2D and 3D with a spatial Gaussian noise whose adimensional streng...
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In particular, the location of S in R d is immaterial (stationarity) and E(N(S)) = λμ =Var(N(S)) (equality of mean and variance). An alternative characterization of the Poisson process involves the limit of the uniform distribution on expanding cubes C ⊆ R . Let ν denote the volume of C. Given m independent uniformly distributed particles in C and a measurable set S ⊆ C of volume μ, the probabi...
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ژورنال
عنوان ژورنال: Symmetry
سال: 2009
ISSN: 2073-8994
DOI: 10.3390/sym1010021