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- W2962720105 abstract "Consider a Voronoi tiling of $mathbb{R} ^{d}$ based on a realization of an 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 [Asymptotics for first-passage times on Delaunay triangulations (2011) Preprint, Greedy Polyominoes and first-passage times on random Voronoi tilings (2012) Preprint]." @default.
- W2962720105 created "2019-07-30" @default.
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- W2962720105 date "2013-02-01" @default.
- W2962720105 modified "2023-09-30" @default.
- W2962720105 title "On some fundamental aspects of polyominoes on random Voronoi tilings" @default.
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- W2962720105 doi "https://doi.org/10.1214/11-bjps150" @default.
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