Potentials for One - Dimensional

نویسندگان

  • Christian MAES
  • Frank REDIG
  • Annelies VAN MOFFAERT
چکیده

We discuss restrictions of two-dimensional translation-invariant Gibbs measures to a one-dimensional layer. We prove that there exists a translation invariant a.s. absolutely convergent potential making these restrictions into weakly Gibbsian measures. We discuss the existence of the thermodynamic functions for this potential and the variational principle for the weakly Gibbsian measures.

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تاریخ انتشار 2007