English

P-adic numbers and replica symmetry breaking

Disordered Systems and Neural Networks 2009-10-31 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/9906095,
  title  = {P-adic numbers and replica symmetry breaking},
  author = {Giorgio Parisi and Nicolas Sourlas},
  journal= {arXiv preprint arXiv:cond-mat/9906095},
  year   = {2009}
}

Comments

14 pages

R2 v1 2026-07-22T12:12:23.369Z