On some fundamental aspects of polyominoes on random Voronoi tilings

DOI10.1214/11-BJPS150zbMath1263.60086arXiv1009.3898MaRDI QIDQ1930643

Leandro P. R. Pimentel

Publication date: 11 January 2013

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3898

zbMATH Keywords

Delaunay triangulationspolyominoesVoronoi tilingsself-avoiding paths

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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Cites Work

• Greedy polyominoes and first-passage times on random Voronoi tilings
• Domination by product measures
• The time constant and critical probabilities in percolation models
• Asymptotics for First-Passage Times on Delaunay Triangulations
• Percolation
• Unnamed Item