Site Percolation on a Disordered Triangulation of the Square Lattice

DOI10.1007/978-981-15-0298-9_10zbMath1446.82020arXiv1704.04930OpenAlexW2606474058MaRDI QIDQ3296402

Leonardo T. Rolla

Publication date: 7 July 2020

Published in: Sojourns in Probability Theory and Statistical Physics - II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04930

zbMATH Keywords

phase transitioncritical parameterdisordered percolation

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Cites Work

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• Crossing probabilities for Voronoi percolation
• A new proof of the sharpness of the phase transition for Bernoulli percolation on \(\mathbb{Z}^d\)
• Quenched Voronoi percolation
• The critical probability of bond percolation on the square lattice equals 1/2
• Percolation on dual lattices withk-fold symmetry
• A note on percolation
• Percolation Probabilities on the Square Lattice

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