Perturbing the hexagonal circle packing: a percolation perspective

DOI10.1214/12-AIHP524zbMath1383.60094arXiv1104.0762MaRDI QIDQ376696

Alexandre Stauffer, Itai Benjamini

Publication date: 19 November 2013

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0762

zbMATH Keywords

Brownian motioncontinuum percolationhexagonal circle packing

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Time-dependent percolation in statistical mechanics (82C43) Circle packings and discrete conformal geometry (52C26)

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Uses Software

• MersenneTwister

Cites Work

• Space-time percolation and detection by mobile nodes
• Domination by product measures
• Mobile geometric graphs: detection, coverage and percolation
• Mersenne twister
• Percolation
• Random Geometric Graphs
• Large deviations for discrete and continuous percolation
• Continuum Percolation
• Continuum percolation with steps in the square or the disc
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