Percolation on Penrose Tilings

DOI10.4153/CMB-1998-026-0zbMath0915.60091OpenAlexW2322309348MaRDI QIDQ4222210

A. L. Hof

Publication date: 4 July 1999

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1998-026-0

zbMATH Keywords

aperiodic tilingsBernoulli bond percolationBernoulli site percolationpercolation on ergodic subgraphs

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

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Invariance under quasi-isometries of subcritical and supercritical behavior in the Boolean model of percolation ⋮ Continuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaks ⋮ Bond percolation on isoradial graphs: criticality and universality ⋮ Sharpness of the phase transition and exponential decay of the subcritical cluster size for percolation on quasi-transitive graphs ⋮ Percolation Hamiltonians ⋮ Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence

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