[Sur une propriété des cascades de Derrida–Ruelle]
Nous présentons une nouvelle propriété des processus ponctuels de Poisson–Dirichlet et des cascades de Derrida–Ruelle. Cela nous permet d'exprimer l'interpolation de Guerra dans le modèle de verres de spin de Sherrington–Kirkpatric entièrement dans le langage des cascades.
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.
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@article{CRMATH_2007__345_11_653_0,
author = {Panchenko, Dmitry and Talagrand, Michel},
title = {On one property of {Derrida{\textendash}Ruelle} cascades},
journal = {Comptes Rendus. Math\'ematique},
pages = {653--656},
publisher = {Elsevier},
volume = {345},
number = {11},
year = {2007},
doi = {10.1016/j.crma.2007.10.035},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2007.10.035/}
}
TY - JOUR AU - Panchenko, Dmitry AU - Talagrand, Michel TI - On one property of Derrida–Ruelle cascades JO - Comptes Rendus. Mathématique PY - 2007 SP - 653 EP - 656 VL - 345 IS - 11 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2007.10.035/ DO - 10.1016/j.crma.2007.10.035 LA - en ID - CRMATH_2007__345_11_653_0 ER -
%0 Journal Article %A Panchenko, Dmitry %A Talagrand, Michel %T On one property of Derrida–Ruelle cascades %J Comptes Rendus. Mathématique %D 2007 %P 653-656 %V 345 %N 11 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2007.10.035/ %R 10.1016/j.crma.2007.10.035 %G en %F CRMATH_2007__345_11_653_0
Panchenko, Dmitry; Talagrand, Michel. On one property of Derrida–Ruelle cascades. Comptes Rendus. Mathématique, Tome 345 (2007) no. 11, pp. 653-656. doi : 10.1016/j.crma.2007.10.035. http://archive.numdam.org/articles/10.1016/j.crma.2007.10.035/
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