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Ornstein-Zernike behavior for the Bernoulli bond percolation on \(\mathbb{Z}^d\) in the supercritical regime

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Publication:1767320
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zbMath1062.60096MaRDI QIDQ1767320

Gastão A. Braga, Rémy Sanchis, Aldo Procacci

Publication date: 10 March 2005

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)


zbMATH Keywords

percolationcluster expansionOrnstein-Zernike behavior


Mathematics Subject Classification ID

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


Related Items (4)

Analyticity and mixing properties for random cluster model with \(q >0\) on \(\mathbb Z^{ d }\) ⋮ A remark on monotonicity in Bernoulli bond percolation ⋮ On the Ornstein-Zernike behaviour for the Bernoulli bond percolation on \({\mathbb{Z}}^{d}, d\geq3\), in the supercritical regime ⋮ On the Ornstein-Zernike behaviour for the supercritical random-cluster model on \(\mathbb {Z}^{d}\), \(d\geq 3\)






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