A homological upper bound on critical probabilities for hyperbolic percolation

DOI10.4171/AIHPD/27zbMath1342.82075arXiv1408.4031OpenAlexW2257018026MaRDI QIDQ294303

Nicholas Delfosse, Gilles Zémor

Publication date: 16 June 2016

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4031

zbMATH Keywords

percolationhomologycritical probabilityhyperbolic lattice

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Homology-changing percolation transitions on finite graphs ⋮ Duality and free energy analyticity bounds for few-body Ising models with extensive homology rank

Cites Work

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• Is the critical percolation probability local?
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• Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers
• Percolation in the hyperbolic plane
• Comment on ‘Monte Carlo simulation study of the two-stage percolation transition in enhanced binary trees’

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