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REMARKS ON THE EDWARDS–ANDERSON PAPER

P. W. Anderson

in Stealing the Gold: A celebration of the pioneering physics of Sam Edwards

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198528531
eISBN:
9780191713415
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528531.003.0014
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents a brief history of the inspirations and ideas behind the famous seminal spin glass paper of Edwards and Anderson, together with some of the further work it stimulated.


Statistical Physics of Spin Glasses and Information Processing: An Introduction

Hidetoshi Nishimori

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198509417
eISBN:
9780191709081
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509417.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Spin glasses are magnetic materials with strong disorder. Statistical mechanics has been a powerful tool to theoretically analyse various unique properties of spin glasses. A number of new analytical ... More


Gap Junctions and the Notion of Electrical Coupling Between Axons

Roger D. Roger and Miles A. Whittington

in Cortical Oscillations in Health and Disease

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195342796
eISBN:
9780199776276
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195342796.003.0009
Subject:
Neuroscience, Molecular and Cellular Systems, Development

Gap junctions are an evolutionarily ancient form of intercellular communication, present in a variety of tissues, and essential to life. A variety of types of experimental evidence indicates that gap ... More


The Infinite-Range Spin Glass

Daniel L. Stein and Charles M. Newman

in Spin Glasses and Complexity

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691147338
eISBN:
9781400845637
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147338.003.0006
Subject:
Sociology, Science, Technology and Environment

This chapter introduces mean field theory, both as a general class of models and in its specific incarnation in spin glasses, the Sherrington–Kirkpatrick model. This is undoubtedly the most ... More


Introduction to replica theory

Marc Mézard and Andrea Montanari

in Information, Physics, and Computation

Published in print:
2009
Published Online:
September 2009
ISBN:
9780198570837
eISBN:
9780191718755
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570837.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In the past twenty-five years, the replica method has evolved into a rather sophisticated tool for attacking theoretical problems as diverse as spin glasses, protein folding, vortices in ... More


The Soviet Blueprint

Gail Kligman and Katherine Verdery

in Peasants under Siege: The Collectivization of Romanian Agriculture, 1949-1962

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691149721
eISBN:
9781400840434
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149721.003.0002
Subject:
History, European Modern History

This chapter discusses the Soviet blueprint, which established the technology of collectivization that East European leaders followed, with variations, during the 1950s. As the first country in the ... More


Mean-Field Theory of Spin Glasses

Hidetoshi Nishimori

in Statistical Physics of Spin Glasses and Information Processing: An Introduction

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198509417
eISBN:
9780191709081
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509417.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses the problem of spin glasses. If the interactions between spins are not uniform in space, the analysis of the previous chapter does not apply. In particular, when the ... More


How to Think about Words

Gary Ebbs

in Truth and Words

Published in print:
2009
Published Online:
May 2009
ISBN:
9780199557936
eISBN:
9780191721403
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199557936.003.0005
Subject:
Philosophy, General

The Tarski–Quine thesis and the Intersubjectivity Constraint appear incompatible. This chapter argues that the appearance is rooted in our acceptance of a standard conception of words, according to ... More


Disordered ultracold atomic gases

Maciej Lewenstein, Anna Sanpera, and Verònica Ahufinger

in Ultracold Atoms in Optical Lattices: Simulating quantum many-body systems

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199573127
eISBN:
9780191775048
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573127.003.0009
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter starts with an introduction to disordered systems, with an emphasis on disorder in condensed matter, and discusses such phenomena as the Anderson localization, and quantum phases such as ... More


EDWARDS–ANDERSON: OPENING UP THE WORLD OF COMPLEXITY

David Sherrington

in Stealing the Gold: A celebration of the pioneering physics of Sam Edwards

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198528531
eISBN:
9780191713415
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528531.003.0015
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents a brief review of some of the riches exposed by and others germinated by the seminal spin glass work of Edwards and Anderson. It discusses such things as replica theory, spin ... More


Random systems

Hidetoshi Nishimori and Gerardo Ortiz

in Elements of Phase Transitions and Critical Phenomena

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199577224
eISBN:
9780191722943
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577224.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Real materials always contain randomness or disorder that cannot be expressed by idealized simple model systems. The present chapter studies the effects of randomness on phase transitions and ... More


Mathematics and Physics: Strategies of Assimilation

Alasdair Urquhart

in The Philosophy of Mathematical Practice

Published in print:
2008
Published Online:
February 2010
ISBN:
9780199296453
eISBN:
9780191711961
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296453.003.0017
Subject:
Philosophy, Logic/Philosophy of Mathematics

The main topic of this chapter is the problem posed to the mathematical community by the non-rigorous methods used by physicists in investigating mathematical problems. These methods are often highly ... More


Belief propogation

Marc Mézard and Andrea Montanari

in Information, Physics, and Computation

Published in print:
2009
Published Online:
September 2009
ISBN:
9780198570837
eISBN:
9780191718755
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570837.003.0014
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses a general method for approximating marginals of large graphical models. This powerful technique has been discovered independently in various fields: statistical physics (under ... More


The assignment problem

Marc Mézard and Andrea Montanari

in Information, Physics, and Computation

Published in print:
2009
Published Online:
September 2009
ISBN:
9780198570837
eISBN:
9780191718755
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570837.003.0016
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses the use of message passing techniques in a combinatorial optimization problem assignment. Given N ‘agents’ and N ‘jobs’, and the cost matrix E(i,j) for having job i executed by ... More


Ising models on random graph

Marc Mézard and Andrea Montanari

in Information, Physics, and Computation

Published in print:
2009
Published Online:
September 2009
ISBN:
9780198570837
eISBN:
9780191718755
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570837.003.0017
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter studies two problems of statistical physics: the ferromagnet and the spin glass, on large random graphs with fixed degree profile. It describes the use of the replica symmetric cavity ... More


The 1RSB cavity method

Marc Mézard and Andrea Montanari

in Information, Physics, and Computation

Published in print:
2009
Published Online:
September 2009
ISBN:
9780198570837
eISBN:
9780191718755
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570837.003.0019
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In graphical models whose factor graph has a locally tree-like structure, belief propagation may fail because variables become correlated at large distances. This phenomenon has been observed in many ... More


An ongoing story

Marc Mézard and Andrea Montanari

in Information, Physics, and Computation

Published in print:
2009
Published Online:
September 2009
ISBN:
9780198570837
eISBN:
9780191718755
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570837.003.0022
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The emerging field that has been described in this book is remarkably coherent, but it also opens up a number of challenges. This chapter provides a synthetic description of such challenges, as well ... More


A Reconstructed Past Lives in the Present

Karl Raitz

in Making Bourbon: A Geographical History of Distilling in Nineteenth-Century Kentucky

Published in print:
2020
Published Online:
September 2020
ISBN:
9780813178752
eISBN:
9780813178769
Item type:
chapter
Publisher:
University Press of Kentucky
DOI:
10.5810/kentucky/9780813178752.003.0020
Subject:
History, American History: 19th Century

Distillers seek to retain or revive their industry’s history through narratives claiming authenticity for proclaimed traditions that are accepted as their heritage endowment. Heritage, if it is ... More


Replica Symmetry Breaking

Hidetoshi Nishimori

in Statistical Physics of Spin Glasses and Information Processing: An Introduction

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198509417
eISBN:
9780191709081
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509417.003.0003
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter continues the analysis of the Sherrington–Kirkpatrick (SK) model started in the preceding chapter. The free energy of the SK model derived under the ansatz of replica symmetry has the ... More


Error-Correcting Codes

Hidetoshi Nishimori

in Statistical Physics of Spin Glasses and Information Processing: An Introduction

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198509417
eISBN:
9780191709081
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509417.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Reliable transmission of information through noisy channels plays a vital role in modern society. Some aspects of this problem have close formal similarities to the theory of spin glasses. Noise in ... More


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