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A percolation problem for \(\{\pm 1\}\)-valued strongly mixing random fields on \({\mathbb Z}^ d\)

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Publication:1071411
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DOI10.1007/BF00324855zbMath0586.60095MaRDI QIDQ1071411

Yasunari Higuchi

Publication date: 1986

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


zbMATH Keywords

percolationIsing modelstrongly mixing


Mathematics Subject Classification ID

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


Related Items

Exponential decay of connectivities in the two-dimensional Ising model



Cites Work

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  • Analyticity properties and power law estimates of functions in percolation theory
  • Tree graph inequalities and critical behavior in percolation models
  • Decay of correlations under Dobrushin's uniqueness condition and its applications
  • Correlation inequalities on some partially ordered sets
  • Mixing properties in lattice systems
  • First-passage percolation on the square lattice
  • On the ferromagnetic and the percolative region of random spin systems
  • Critical sponge dimensions in percolation theory
  • A note on percolation
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