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On the meaning of Parisi's functional order parameter.

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Publication:1420148
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DOI10.1016/j.crma.2003.09.013zbMath1147.82336OpenAlexW2011691684MaRDI QIDQ1420148

Michel Talagrand

Publication date: 28 January 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.09.013


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)


Related Items

Crisanti-Sommers formula and simultaneous symmetry breaking in multi-species spherical spin glasses, Free energy of the spherical mean field model, Localization in Gaussian disordered systems at low temperature, FREE ENERGY IN THE GENERALIZED SHERRINGTON–KIRKPATRICK MEAN FIELD MODEL, On the structure of KMS states of disordered systems



Cites Work

  • The generalized Parisi formula
  • Broken replica symmetry bounds in the mean field spin glass model
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