On one property of Derrida–Ruelle cascades

Abstract

We present new results about Poisson–Dirichlet point processes and Derrida–Ruelle cascades that are motivated by applications to mean-field spin glass models and, in particular, by the attempt to express Guerra's interpolation in the Sherrington–Kirkpatrick model entirely in the language of the cascades. To cite this article: D. Panchenko, M. Talagrand, C. R. Acad. Sci. Paris, Ser. I 345 (2007).