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Visibility to infinity in the hyperbolic plane, despite obstacles

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Publication:2865788
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zbMath1276.82012arXiv0807.3308MaRDI QIDQ2865788

Johan Jonasson, Oded Schramm, Itai Benjamini, Johan H. Tykesson

Publication date: 3 December 2013

Full work available at URL: https://arxiv.org/abs/0807.3308


zbMATH Keywords

phase transitionshyperbolic geometrycontinuum percolationexceptional lines


Mathematics Subject Classification ID

Percolation (82B43) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)


Related Items (9)

Visibility in the vacant set of the Brownian interlacements and the Brownian excursion process ⋮ Does a central limit theorem hold for the \(k\)-skeleton of Poisson hyperplanes in hyperbolic space? ⋮ Beta-star polytopes and hyperbolic stochastic geometry ⋮ Percolation in the vacant set of Poisson cylinders ⋮ Percolation beyond \(\mathbb Z^{d}\): the contributions of Oded Schramm ⋮ Hausdorff dimension of visible sets for well-behaved continuum percolation in the hyperbolic plane ⋮ On the visibility in well-behaved random sets in Euclidean space ⋮ Gilbert's disc model with geostatistical marking ⋮ Asymptotics of Visibility in the Hyperbolic Plane




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