Crossing probabilities for critical Bernoulli percolation on slabs

DOI10.1214/16-AIHP776zbMath1387.60141arXiv1512.05178OpenAlexW2963034346MaRDI QIDQ1700398

Deepan Basu, Artëm Sapozhnikov

Publication date: 5 March 2018

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.05178

zbMATH Keywords

slabRusso-Seymour-Welsh theoremcritical Bernoulli percolation

Mathematics Subject Classification ID

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

Related Items (3)

The phase transitions of the random-cluster and Potts models on slabs with \(q \geq 1\) are sharp ⋮ Crossing probabilities for planar percolation ⋮ Quasi-independence for nodal lines

Cites Work

• Unnamed Item
• Crossing probabilities for Voronoi percolation
• Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\)
• The critical probability for random Voronoi percolation in the plane is 1/2
• On the number of incipient spanning clusters
• Absence of Infinite Cluster for Critical Bernoulli Percolation on Slabs
• On the critical percolation probabilities
• A note on percolation
• Percolation Probabilities on the Square Lattice
• Critical Percolation and the Minimal Spanning Tree in Slabs
• Connection probabilities and RSW‐type bounds for the two‐dimensional FK Ising model

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