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Sherrington-Kirkpatrick model / Dmitry Panchenko.

By: Material type: TextTextSeries: Springer monographs in mathematicsPublication details: New York : Springer, 2013.Description: xii, 156 p. ; 24 cmISBN:
  • 9781461462880 (hbk. : alk. paper)
Subject(s): DDC classification:
  • 530.412 23 P188
Contents:
1. The Free Energy and Gibbs Measure -- 2. The Ruelle Probability Cascades -- 3. The Parisi Formula -- 4. Toward a Generalized Parisi Ansatz -- Appendix -- Bibliography -- Index.
Summary: This book explores core ideas underlying the Parisi solution of the Sherrington-Kirkpatrick model for spin glasses, including the recent solution of the Parisi ultrametricity conjecture and a conceptually simple proof of the Parisi formula for free energy.
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Includes bibliographical references and index.

1. The Free Energy and Gibbs Measure --
2. The Ruelle Probability Cascades --
3. The Parisi Formula --
4. Toward a Generalized Parisi Ansatz --
Appendix --
Bibliography --
Index.

This book explores core ideas underlying the Parisi solution of the Sherrington-Kirkpatrick model for spin glasses, including the recent solution of the Parisi ultrametricity conjecture and a conceptually simple proof of the Parisi formula for free energy.

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