close
1.

図書

図書
Michel Talagrand
出版情報: Berlin : Springer, c2011  xviii, 485 p. ; 25 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge . A series of modern surveys in mathematics ; v. 54 . Mean field models for spin glasses / Michel Talagrand ; v. 1
所蔵情報: loading…
目次情報: 続きを見る
Introduction
The Sherrington-Kirkpatrick Model / 1:
Notations and Simple Facts / 1.1:
Gaussian Interpolation and the Smart Path Method / 1.3:
Latala's Argument / 1.4:
A Kind of Central Limit Theorem / 1.5:
The Cavity Method / 1.6:
Gibbs' Measure; the TAP Equations / 1.7:
Second Moment Computations and the Almeida-Thouless Line / 1.8:
Beyond the AT Line / 1.9:
Central Limit Theorem for the Overlaps / 1.10:
Non Gaussian Behavior: Hanen's Theorem / 1.11:
The SK Model with d-component Spins / 1.12:
The Physicist's Replica Method / 1.13:
Notes and Comments / 1.14:
The Perceptron Model / 2:
The Smart Path / 2.1:
Cavity in M / 2.3:
The Replica Symmetric Solution / 2.4:
Exponential Inequalities / 2.5:
The Shcherbina and Tirozzi Model / 2.6:
The Power of Convexity / 3.1:
The Replica-Symmetric Equations / 3.2:
Controlling the Solutions of the RS Equations / 3.3:
The Hopfield Model / 3.4:
Introduction: The Curie-Weiss Model / 4.1:
Local Convexity and the Hubbard-Stratonovitch Transform / 4.2:
The Bovier-Gayrard Localization Theorem / 4.3:
Selecting a State with an External Field / 4.4:
Controlling the Overlaps / 4.5:
Approximate Integration by Parts and the Replica-Symmetric Equations / 4.6:
The V-statistics Model / 4.7:
The New Equation / 5.1:
The Replica-Symmetric Solution / 5.5:
The Diluted SK Model and the K-Sat Problem / 6:
Pure State / 6.1:
The Functional Order Parameter / 6.3:
The Franz-Leone Bound / 6.4:
Continuous Spins / 6.6:
An Assignment Problem / 6.7:
Overview of the Proof / 7.1:
Decoupling / 7.3:
Empirical Measures / 7.5:
Operators / 7.6:
Elements of Probability Theory / 7.7:
How to Use this Appendix / A.1:
Differentiation Inside an Expectation / A.2:
Gaussian Random Variables / A.3:
Gaussian Integration by Parts / A.4:
Tail Estimates / A.5:
How to Use Tail Estimates / A.6:
Bernstein's Inequality / A.7:
?-Nets / A.8:
Random Matrices / A.9:
Poisson Random Variables and Point Processes / A.10:
Distances Between Probability Measures / A.11:
The Paley-Zygmund Inequality / A.12:
Differential Inequalities / A.13:
The Latala-Guerra Lemma / A.14:
Proof of Theorem 3.1.4 / A.15:
References
Index
Glossary
Introduction
The Sherrington-Kirkpatrick Model / 1:
Notations and Simple Facts / 1.1:
2.

図書

図書
Ian Stewart
出版情報: Oxford : Oxford University Press, 2013  xii, 144 p. ; 18 cm
シリーズ名: Very short introductions ; 353
所蔵情報: loading…
3.

図書

図書
Yves Benoist, Jean-François Quint
出版情報: Cham : Springer, c2016  xi, 323 p. ; 25 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge . A series of modern surveys in mathematics ; v. 62
所蔵情報: loading…
4.

図書

図書
Tuomas Hytönen ... [et al.]
出版情報: Cham : Springer, c2016  xvi, 614 p. ; 25 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge . A series of modern surveys in mathematics ; v. 63 . Analysis in Banach spaces ; v. 1
所蔵情報: loading…
5.

図書

図書
editors, Michael Atiyah, Daniel Iagolnitzer, Chitat Chong
出版情報: New Jersey : World Scientific, c2016  xix, 1095 p. ; 26 cm
シリーズ名: World scientific series in 21st century mathematics ; v. 1
所蔵情報: loading…
6.

図書

図書
Luis Ribes
出版情報: Cham : Springer, c2017  xv, 471 p. ; 25 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge . A series of modern surveys in mathematics ; v. 66
所蔵情報: loading…
7.

図書

図書
Nazmus Saquib
出版情報: Birmingham : Packt Publishing, 2014  iii, 132 p. ; 24 cm
シリーズ名: Community experience distilled
所蔵情報: loading…
8.

図書

図書
by Yutaka Nishiyama
出版情報: Kyoto : Gendai Sugakusha, 2013  vi, 322 p. ; 24 cm
シリーズ名: Osaka University of Economics research series ; v. 79
所蔵情報: loading…
9.

図書

図書
J. David Logan
出版情報: Hoboken, N.J. : John Wiley, c2013  xv, 658 p. ; 24 cm
所蔵情報: loading…
10.

図書

図書
Mark I. Freidlin, Alexander D. Wentzell ; translated by Joseph Szücs
出版情報: Berlin : Springer, c2012  xxviii, 458 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 260
所蔵情報: loading…
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼