Spin glasses : a challenge for mathematicians : cavity and mean field models

書誌事項

Spin glasses : a challenge for mathematicians : cavity and mean field models

Michel Talagrand

(Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, v. 46)

Springer, c2003

大学図書館所蔵 件 / 56

この図書・雑誌をさがす

注記

Bibliography: p. [577]-584

Includes index

内容説明・目次

内容説明

In the 1980s, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". This rigorous book introduces this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics, and contains proofs in complete detail of much of what is rigorously known on spin glasses at the time of writing.

目次

0. Introduction.- 1. A Toy Model, the REM.- 2. The Sherrington-Kirkpatrick Model.- 3. The Capacity of the Perceptron: The Ising Case.- 4. Capacity of the Perceptron: The Gaussian and the Spherical Case.- 5. The Hopfield Model.- 6. The p-Spin Interaction Model at Low Temperature.- 7. The Diluted SK Model and the K-Sat Problems.- 8. An Assignment Problem.- A. Appendix.- Elements of Probability Theory.- References.- Index.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

  • NII書誌ID(NCID)
    BA6309181X
  • ISBN
    • 3540003568
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin ; Tokyo
  • ページ数/冊数
    ix, 586 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
ページトップへ