P-adic numbers and replica symmetry breaking

Details P-adic numbers and replica symmetry breaking P-adic numbers and replica symmetry breaking

1999-06-07

arxiv.org/abs/cond-mat/9906095v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages

Scientific paper

10.1007/s100510051063

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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