Asymptotic expansions inn−1 for percolation critical values on then-Cube and ℤn

DOI10.1002/rsa.20074zbMath1077.60077arXivmath/0401073OpenAlexW2108551278MaRDI QIDQ5704839

Gordon Slade, Remco van der Hofstad

Publication date: 15 November 2005

Published in: Random Structures and Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401073

zbMATH Keywords

lace expansionnearest-neighbor bond percolation

Mathematics Subject Classification ID

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

Related Items

Expansion for the critical point of site percolation: the first three terms ⋮ Self-avoiding walk on the complete graph ⋮ The diameter of a random subgraph of the hypercube ⋮ Random subgraphs of the 2D Hamming graph: The supercritical phase ⋮ Self‐avoiding walk on the hypercube ⋮ Mean-field behavior of nearest-neighbor oriented percolation on the BCC lattice above \(8 + 1\) dimensions ⋮ Unlacing hypercube percolation: a survey ⋮ Series expansion of the percolation threshold on hypercubic lattices ⋮ Majority Bootstrap Percolation on the Hypercube ⋮ Bootstrap Percolation in High Dimensions ⋮ Hypercube percolation ⋮ Existence of a non-averaging regime for the self-avoiding walk on a high-dimensional infinite percolation cluster ⋮ Expansion of Percolation Critical Points for Hamming Graphs ⋮ Expansion in High Dimension for the Growth Constants of Lattice Trees and Lattice Animals ⋮ Strict Majority Bootstrap Percolation on Augmented Tori and Random Regular Graphs: Experimental Results ⋮ Random subgraphs of finite graphs. II: The lace expansion and the triangle condition ⋮ Critical points for spread-out self-avoiding walk, percolation and the contact process above the upper critical dimensions

Cites Work

• Percolation