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P-adic numbers and replica symmetry breaking

Giorgio Parisi·Nicolas Sourlas
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Abstract

The p-adic formulation of replica symmetry breaking is presented. In this approach ultrametricity is a natural consequence of the basic properties of the p-adic numbers. Many properties can be simply derived in this approach and p-adic Fourier transform seems to be an promising tool.

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Giorgio Parisi, Nicolas Sourlas. 1999-06-07. P-adic numbers and replica symmetry breaking. https://doi.org/10.1007/s100510051063

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