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Percolation clusters in hyperbolic tessellations

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Publication:5956637
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DOI10.1007/s00039-001-8223-7zbMath0997.60122OpenAlexW2129708970MaRDI QIDQ5956637

Steven P. Lalley

Publication date: 13 November 2002

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-001-8223-7


zbMATH Keywords

tessellationCayley graphHausdorff dimensionFuchsian group


Mathematics Subject Classification ID

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


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Limit Set of Branching Random Walks on Hyperbolic Groups ⋮ Thin-ended clusters in percolation in ⋮ Percolation beyond \(\mathbb Z^{d}\): the contributions of Oded Schramm ⋮ Hausdorff dimension of visible sets for well-behaved continuum percolation in the hyperbolic plane ⋮ Percolation on hyperbolic graphs ⋮ Bootstrap percolation and kinetically constrained models on hyperbolic lattices ⋮ The \(L^2\) boundedness condition in nonamenable percolation



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