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Information, Physics, and Computation
Buch von Marc Mézard (u. a.)
Sprache: Englisch

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Beschreibung
A very active field of research is emerging at the frontier of statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. This book sets up a common language and pool of concepts, accessible to students and researchers from each of these fields.
A very active field of research is emerging at the frontier of statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. This book sets up a common language and pool of concepts, accessible to students and researchers from each of these fields.
Über den Autor
Professor Marc Mezard
CNRS Research Director at Université de Paris Sud and Professor at Ecole Polytechnique, France

Marc Mezard received his PhD in 1984. He was hired in CNRS in 1981 and became research director in 1990 at Ecole Normale Supérieure. He joined the Université Paris Sud in 2001. He spent extensive periods in Rome University, in the KITP (Santa Barbara) and in MSRI (Berkeley). Author of about 150 publications, he has been
awarded the silver medal of CNRS in 1990 and the Ampere price of the French academy of science in 1996.

Dr Andrea Montanari
Assistant Professor, Stanford University and CNRS France

Andrea Montanari received a Laurea degree in Physics in 1997, and a Ph. D. in Theoretical Physics in 2001 (both from Scuola Normale Superiore in Pisa, Italy). He has been post-doctoral fellow at Laboratoire de Physique Théorique de l'Ecole Normale Supérieure (LPTENS), Paris, France, and the Mathematical Sciences Research Institute, Berkeley, USA. Since 2002 he is Chargé de Recherche (a permanent research position with Centre National de la Recherche Scientifique, CNRS) at LPTENS.
In September 2006 he joined Stanford University as Assistant Professor in the Departments of Electrical Engineering and Statistics.
In 2006 he was awarded the CNRS bronze medal for theoretical physics.
Inhaltsverzeichnis
  • 1: Introduction to Information Theory

  • 2: Statistical physics and probability theory

  • 3: Introduction to combinatorial optimization

  • 4: Probabilistic toolbox

  • 5: The Random Energy Model

  • 6: Random Code Ensemble

  • 7: Number partitioning

  • 8: Introduction to replica theory

  • 9: Factor graphs and graph ensembles

  • 10: Satisfiability

  • 11: Low-Density Parity-Check Codes

  • 12: Spin glasses

  • 13: Bridges: Inference and Monte Carlo

  • 14: Belief propagation

  • 15: Decoding with belief propagation

  • 16: The assignment problem

  • 17: Ising models on random graphs

  • 18: Linear Boolean equations

  • 19: The 1RSB cavity method

  • 20: Random K-satisfiability

  • 21: Glassy states in coding theory

  • 22: An ongoing story

Details
Erscheinungsjahr: 2009
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
ISBN-13: 9780198570837
ISBN-10: 019857083X
Sprache: Englisch
Einband: Gebunden
Autor: Mézard, Marc
Montanari, Andrea
Hersteller: Oxford University Press
Maße: 250 x 178 x 33 mm
Von/Mit: Marc Mézard (u. a.)
Erscheinungsdatum: 27.03.2009
Gewicht: 1,283 kg
Artikel-ID: 108623161
Über den Autor
Professor Marc Mezard
CNRS Research Director at Université de Paris Sud and Professor at Ecole Polytechnique, France

Marc Mezard received his PhD in 1984. He was hired in CNRS in 1981 and became research director in 1990 at Ecole Normale Supérieure. He joined the Université Paris Sud in 2001. He spent extensive periods in Rome University, in the KITP (Santa Barbara) and in MSRI (Berkeley). Author of about 150 publications, he has been
awarded the silver medal of CNRS in 1990 and the Ampere price of the French academy of science in 1996.

Dr Andrea Montanari
Assistant Professor, Stanford University and CNRS France

Andrea Montanari received a Laurea degree in Physics in 1997, and a Ph. D. in Theoretical Physics in 2001 (both from Scuola Normale Superiore in Pisa, Italy). He has been post-doctoral fellow at Laboratoire de Physique Théorique de l'Ecole Normale Supérieure (LPTENS), Paris, France, and the Mathematical Sciences Research Institute, Berkeley, USA. Since 2002 he is Chargé de Recherche (a permanent research position with Centre National de la Recherche Scientifique, CNRS) at LPTENS.
In September 2006 he joined Stanford University as Assistant Professor in the Departments of Electrical Engineering and Statistics.
In 2006 he was awarded the CNRS bronze medal for theoretical physics.
Inhaltsverzeichnis
  • 1: Introduction to Information Theory

  • 2: Statistical physics and probability theory

  • 3: Introduction to combinatorial optimization

  • 4: Probabilistic toolbox

  • 5: The Random Energy Model

  • 6: Random Code Ensemble

  • 7: Number partitioning

  • 8: Introduction to replica theory

  • 9: Factor graphs and graph ensembles

  • 10: Satisfiability

  • 11: Low-Density Parity-Check Codes

  • 12: Spin glasses

  • 13: Bridges: Inference and Monte Carlo

  • 14: Belief propagation

  • 15: Decoding with belief propagation

  • 16: The assignment problem

  • 17: Ising models on random graphs

  • 18: Linear Boolean equations

  • 19: The 1RSB cavity method

  • 20: Random K-satisfiability

  • 21: Glassy states in coding theory

  • 22: An ongoing story

Details
Erscheinungsjahr: 2009
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
ISBN-13: 9780198570837
ISBN-10: 019857083X
Sprache: Englisch
Einband: Gebunden
Autor: Mézard, Marc
Montanari, Andrea
Hersteller: Oxford University Press
Maße: 250 x 178 x 33 mm
Von/Mit: Marc Mézard (u. a.)
Erscheinungsdatum: 27.03.2009
Gewicht: 1,283 kg
Artikel-ID: 108623161
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