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Rigorous studies of critical behavior

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Publication:1117605
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DOI10.1016/0378-4371(86)90226-8zbMath0667.60102OpenAlexW2001619244MaRDI QIDQ1117605

Michael Aizenman

Publication date: 1986

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(86)90226-8

zbMATH Keywords

percolation modelscritical behavior in statistical mechanicstranslation invariant ferromagnetic systems


Mathematics Subject Classification ID

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


Related Items

On the critical behavior of the magnetization in high-dimensional Ising models, Unwrapped two-point functions on high-dimensional tori



Cites Work

  • Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II
  • Tree graph inequalities and critical behavior in percolation models
  • On the critical behavior of the magnetization in high-dimensional Ising models
  • Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
  • Sharpness of the phase transition in percolation models
  • Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
  • On Ising's model of ferromagnetism
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