A Remark on Different Norms and Analyticity for Many-Particle Interactions

Aernout van Enter, R. Fernandez

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We compare a recent result of Dobrushin and Martirosyan with previous results by Gallavotti and Miracle-Sole and by Israel and point out that the analytic behavior at high temperatures for many-particle interactions is different depending on whether the interactions are weighted with a lattice-gas or Ising norm or, on the other hand, with the supremum norm.
Original languageEnglish
Pages (from-to)965-972
Number of pages8
JournalJournal of Statistical Physics
Issue number5-6
Publication statusPublished - Sep-1989


  • analyticity
  • inequivalent norms
  • physically equivalent interactions
  • many-particle interactions

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