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P-adic numbers and replica symmetry breaking

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The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

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 a promising tool.

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Authors and Affiliations

  1. Dipartimento di Fisica and Sezione INFN, Università di Roma “La Sapienza”, Piazzale Aldo Moro, 00199, Roma, Italy

    G. Parisi

  2. Laboratoire de Physique Théorique de l'École Normale Supérieure (Unité Propre du Centre National de la Recherche Scientifique, associée à l'École Normale Supérieure et à l'Université de Paris-Sud.), 24 rue Lhomond, 75231, Paris Cedex 05, France

    N. Sourlas

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  1. G. Parisi
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  2. N. Sourlas
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Received 9 June 1999

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Parisi, G., Sourlas, N. P-adic numbers and replica symmetry breaking. Eur. Phys. J. B 14, 535–542 (2000). https://doi.org/10.1007/s100510051063

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  • DOI: https://doi.org/10.1007/s100510051063

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