A local limit theorem for triple connections in subcritical Bernoulli percolation

DOI10.1007/s00440-007-0129-3zbMath1163.60044arXiv1103.2002OpenAlexW2055305331MaRDI QIDQ1017880

Massimo Campanino, Michele Gianfelice

Publication date: 13 May 2009

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2002

zbMATH Keywords

percolationlocal limit theoremdecay of connectivitiesmultidimensional renewal process

Mathematics Subject Classification ID

Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

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Cites Work

• Gaussian fluctuations of connectivities in the subcritical regime of percolation
• Statistical mechanical methods in particle structure analysis of lattice field theories. II. Scalar and surface models
• Ornstein-Zernike theory for finite range Ising models above \(T_c\)
• Sharpness of the phase transition in percolation models
• Ornstein-Zernike theory for the Bernoulli bond percolation on \(\mathbb Z^d\)
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