A localized version of the SK model with external field
نویسندگان
چکیده
In this note, we consider a SK-type model on Zd for d ≥ 1, weighted by a function allowing to any single spin to interact with a small proportion of the other ones. Both mean field 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 influence of some boundary conditions on the replica symmetric solution under mild assumptions.
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