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For the Edwards-Anderson model we find an integral representation for somesurface terms on the Nishimori line. Among the results are expressions for thesurface pressure for free and periodic boundary conditions and the adjacencypressure, i.e., the difference between the pressure of a box and the sum of thepressures of adjacent sub-boxes in which the box can been decomposed. We showthat all those terms indeed behave proportionally to the surface size and provethe existence in the thermodynamic limit of the adjacency pressure.Comment: Final version with minor corrections. To appear in Journal of  Statistical Physic

Surface Terms on the Nishimori Line of the Gaussian Edwards-Anderson Model