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• W3100483721 abstract "We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duality and the replica method. In the present paper we carefully examine the ansatz and reduce it to a hypothesis on analyticity of a function appearing in the duality relation. Thus the problem is now clearer than before from a mathematical point of view: The ansatz, somewhat arbitrarily introduced previously, has now been shown to be closely related to the analyticity of a well-defined function." @default.
• W3100483721 created "2020-11-23" @default.
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• W3100483721 date "2006-07-09" @default.
• W3100483721 modified "2023-10-16" @default.
• W3100483721 title "Duality in Finite-Dimensional Spin Glasses" @default.
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• W3100483721 doi "https://doi.org/10.1007/s10955-006-9156-1" @default.
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