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Uniqueness of the infinite cluster for stationary Gibbs states

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Publication:909364
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DOI10.1214/aop/1176991161zbMath0694.60096OpenAlexW2044315858MaRDI QIDQ909364

Alberto Gandolfi

Publication date: 1989

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176991161

zbMATH Keywords

percolationinfinite clusterspercolation in Gibbs modelsstationary Gibbs states


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)


Related Items

Density and uniqueness in percolation, Surface order large deviations for high-density percolation, Uniqueness in percolation theory, Level set representation for the Gibbs states of the ferromagnetic Ising model, Uniqueness of the infinite component in a random graph with applications to percolation and spin glasses, Percolation in half-spaces: Equality of critical densities and continuity of the percolation probability



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