Guerra's interpolation using Derrida-Ruelle cascades

Mathematics – Probability

Scientific paper

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v2: some minor corrections

Scientific paper

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.

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