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Guerra's interpolation using Derrida-Ruelle cascades

Probability 2007-08-30 v2 Mathematical Physics math.MP

Abstract

New results about Poisson-Dirichlet point processes and Derrida-Ruelle cascades allow us to express Guerra's interpolation entirely in the language of Derrida-Ruelle cascades and to streamline Guerra's computations. Moreover, our approach clarifies the nature of the error terms along the interpolation.

Keywords

Cite

@article{arxiv.0708.3641,
  title  = {Guerra's interpolation using Derrida-Ruelle cascades},
  author = {Dmitry Panchenko and Michel Talagrand},
  journal= {arXiv preprint arXiv:0708.3641},
  year   = {2007}
}

Comments

v2: some minor corrections

R2 v1 2026-06-21T09:11:05.050Z