Plaquettes, spheres, and entanglement

DOI10.1214/EJP.v15-804zbMath1229.60107arXiv1002.2623MaRDI QIDQ638327

Alexander E. Holroyd, Geoffrey R. Grimmett

Publication date: 9 September 2011

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2623

zbMATH Keywords

percolationentanglementrandom sphere

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (16)

Topology of random geometric complexes: a survey ⋮ Constrained percolation in two dimensions ⋮ Lipschitz embeddings of random fields ⋮ Intrinsic volumes of random cubical complexes ⋮ Phase transitions for degenerate random environments ⋮ Bootstrap percolation on the product of the two-dimensional lattice with a Hamming square ⋮ Lipschitz embeddings of random sequences ⋮ Random colorings in manifolds ⋮ Geometry of Lipschitz percolation ⋮ Percolation on Homology Generators in Codimension One ⋮ Lattice embeddings in percolation ⋮ Polluted bootstrap percolation in three dimensions ⋮ Percolation of finite clusters and infinite surfaces ⋮ On the number of entangled clusters ⋮ Polluted bootstrap percolation with threshold two in all dimensions ⋮ Entanglement percolation and spheres in \(\mathbb{Z}^d\)

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