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تسجيل مستخدم جديدOn Some fundamental aspects of Polyominoes on Random Voronoi Tilings
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نشر من قبل
Leandro Pimentel Pinto Rodrigues
تاريخ النشر
2010
مجال البحث
فيزياء
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English
تأليف
Leandro P. R. Pimentel
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Consider a Voronoi tiling of the Euclidean space based on a realization of a inhomogeneous Poisson random set. A Voronoi polyomino is a finite and connected union of Voronoi tiles. In this paper we provide tail bounds for the number of boxes that are intersected by a Voronoi polyomino, and vice-versa. These results will be crucial to analyze self-avoiding paths, greedy polyominoes and first-passage percolation models on Voronoi tilings and on the dual graph, named the Delaunay triangulation.
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