Another critical exponent inequality for percolation: β≥2/δ

Charles M. Newman

Research output: Contribution to journalArticlepeer-review


The inequality in the title is derived for standard site percolation in any dimension, assuming only that the percolation density vanishes at the critical point. The proof, based on a lattice animal expansion, is fairly simple and is applicable to rather general (site or bond, short-or long-range) independent percolation models.

Original languageEnglish (US)
Pages (from-to)695-699
Number of pages5
JournalJournal of Statistical Physics
Issue number5-6
StatePublished - Jun 1987


  • Percolation
  • critical exponents
  • exponent inequalities
  • lattice animals
  • rigorous results

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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