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Aizenman, Michael, Barsky, David J · 1987 · Communications in Mathematical Physics · DOI 10.1007/bf01212322

1 Pith paper cite this work, alongside 383 external citations. Polarity classification is still indexing.

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math.PR 1

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2026 1

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CONDITIONAL 1

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Sharp phase transition for percolation with short-range dependencies

math.PR · 2026-07-16 · conditional · novelty 6.0

Nearest-neighbour percolation with type-dependent edge probabilities has a sharp phase transition — exponential decay below criticality and linear growth above — whenever a transition exists, with a Lipschitz critical curve in the site-bond case.

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  • Sharp phase transition for percolation with short-range dependencies math.PR · 2026-07-16 · conditional · none · ref 5

    Nearest-neighbour percolation with type-dependent edge probabilities has a sharp phase transition — exponential decay below criticality and linear growth above — whenever a transition exists, with a Lipschitz critical curve in the site-bond case.