Percolation in Voronoi tilings

DOI10.1002/rsa.20043zbMath1065.60142OpenAlexW2528876261MaRDI QIDQ4680411

Anthony N. Quas, Béla Bollobás, Paul N. Balister

Publication date: 1 June 2005

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rsa.20043

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (3)

Bond percolation with attenuation in high dimensional VoronoiÌ tilings ⋮ The critical probability for random Voronoi percolation in the plane is 1/2 ⋮ Continuum line-of-sight percolation on Poisson–Voronoi tessellations

Cites Work

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• Upper and lower bounds for the route length of first-passage percolation in Voronoi tessellations
• Percolation on the projective plane
• Percolation in the hyperbolic plane
• Improved upper bounds for the critical probability of oriented percolation in two dimensions

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