A localized version of the SK model with external eld

نویسندگان

  • Samy Tindel
  • Frederi Viens
چکیده

In this note, we consider a Sherrington-Kirkpatrick(SK)-type model on Z for d 1, weighted by a function allowing for any single spin to interact with a small proportion of the other ones. Both mean eld and diluted cases are considered, and we compute the replica symmetric solution at high temperature in those two cases. We are also able to study the in uence of some boundary conditions on the replica symmetric solution under mild assumptions.

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تاریخ انتشار 2003