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The Resource Chaos : Poincaré Seminar 2010, edited by Bertrand Duplantier, Stéphane Nonnenmacher, Vincent Rivasseau, (electronic resource)
Chaos : Poincaré Seminar 2010, edited by Bertrand Duplantier, Stéphane Nonnenmacher, Vincent Rivasseau, (electronic resource)
Resource Information
The item Chaos : Poincaré Seminar 2010, edited by Bertrand Duplantier, Stéphane Nonnenmacher, Vincent Rivasseau, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Chaos : Poincaré Seminar 2010, edited by Bertrand Duplantier, Stéphane Nonnenmacher, Vincent Rivasseau, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This twelfth volume in the Poincaré Seminar Series presents a complete and interdisciplinary perspective on the concept of Chaos, both in classical mechanics in its deterministic version, and in quantum mechanics. This book expounds some of the most wide ranging questions in science, from uncovering the fingerprints of classical chaotic dynamics in quantum systems, to predicting the fate of our own planetary system. Its seven articles are also highly pedagogical, as befits their origin in lectures to a broad scientific audience. Highlights include a complete description by the mathematician É. Ghys of the paradigmatic Lorenz attractor, and of the famed Lorenz butterfly effect as it is understood today, illuminating the fundamental mathematical issues at play with deterministic chaos; a detailed account by the experimentalist S. Fauve of the masterpiece experiment, the von Kármán Sodium or VKS experiment, which established in 2007 the spontaneous generation of a magnetic field in a strongly turbulent flow, including its reversal, a model of Earth’s magnetic field; a simple toy model by the theorist U. Smilansky – the discrete Laplacian on finite dregular expander graphs – which allows one to grasp the essential ingredients of quantum chaos, including its fundamental link to random matrix theory; a review by the mathematical physicists P. Bourgade and J.P. Keating, which illuminates the fascinating connection between the distribution of zeros of the Riemann ζfunction and the statistics of eigenvalues of random unitary matrices, which could ultimately provide a spectral interpretation for the zeros of the ζfunction, thus a proof of the celebrated Riemann Hypothesis itself; an article by a pioneer of experimental quantum chaos, HJ. Stöckmann, who shows in detail how experiments on the propagation of microwaves in 2D or 3D chaotic cavities beautifully verify theoretical predictions; a thorough presentation by the mathematical physicist S. Nonnenmacher of the “anatomy” of the eigenmodes of quantized chaotic systems, namely of their macroscopic localization properties, as ruled by the Quantum Ergodic theorem, and of the deep mathematical challenge posed by their fluctuations at the microscopic scale; a review, both historical and scientific, by the astronomer J. Laskar on the stability, hence the fate, of the chaotic Solar planetary system we live in, a subject where he made groundbreaking contributions, including the probabilistic estimate of possible planetary collisions. This book should be of broad general interest to both physicists and mathematicians
 Language
 eng
 Extent
 XII, 270 p. 100 illus., 61 illus. in color.
 Contents

 Foreword
 1 Étienne Ghys, The Lorenz Attractor, a Paradigm for Chaos
 2 Stéphan Fauve, Chaotic Dynamos Generated by Fully Turbulent Flows
 3 Uzy Smilansky, Discrete Graphs  A Paradigm Model for Quantum Chaos
 4 Paul Bourgade and Jonathan P. Keating, Quantum Chaos, Random Matrix Theory, and the Riemann ζfunction
 5 HansJürgen Stöckmann, Chaos in Microwave Resonators
 6 Stéphane Nonnenmacher, Anatomy of Quantum Chaotic Eigenstates
 7 Jacques Laskar, Is the Solar System Stable?
 Isbn
 9783034806978
 Label
 Chaos : Poincaré Seminar 2010
 Title
 Chaos
 Title remainder
 Poincaré Seminar 2010
 Statement of responsibility
 edited by Bertrand Duplantier, Stéphane Nonnenmacher, Vincent Rivasseau
 Language
 eng
 Summary
 This twelfth volume in the Poincaré Seminar Series presents a complete and interdisciplinary perspective on the concept of Chaos, both in classical mechanics in its deterministic version, and in quantum mechanics. This book expounds some of the most wide ranging questions in science, from uncovering the fingerprints of classical chaotic dynamics in quantum systems, to predicting the fate of our own planetary system. Its seven articles are also highly pedagogical, as befits their origin in lectures to a broad scientific audience. Highlights include a complete description by the mathematician É. Ghys of the paradigmatic Lorenz attractor, and of the famed Lorenz butterfly effect as it is understood today, illuminating the fundamental mathematical issues at play with deterministic chaos; a detailed account by the experimentalist S. Fauve of the masterpiece experiment, the von Kármán Sodium or VKS experiment, which established in 2007 the spontaneous generation of a magnetic field in a strongly turbulent flow, including its reversal, a model of Earth’s magnetic field; a simple toy model by the theorist U. Smilansky – the discrete Laplacian on finite dregular expander graphs – which allows one to grasp the essential ingredients of quantum chaos, including its fundamental link to random matrix theory; a review by the mathematical physicists P. Bourgade and J.P. Keating, which illuminates the fascinating connection between the distribution of zeros of the Riemann ζfunction and the statistics of eigenvalues of random unitary matrices, which could ultimately provide a spectral interpretation for the zeros of the ζfunction, thus a proof of the celebrated Riemann Hypothesis itself; an article by a pioneer of experimental quantum chaos, HJ. Stöckmann, who shows in detail how experiments on the propagation of microwaves in 2D or 3D chaotic cavities beautifully verify theoretical predictions; a thorough presentation by the mathematical physicist S. Nonnenmacher of the “anatomy” of the eigenmodes of quantized chaotic systems, namely of their macroscopic localization properties, as ruled by the Quantum Ergodic theorem, and of the deep mathematical challenge posed by their fluctuations at the microscopic scale; a review, both historical and scientific, by the astronomer J. Laskar on the stability, hence the fate, of the chaotic Solar planetary system we live in, a subject where he made groundbreaking contributions, including the probabilistic estimate of possible planetary collisions. This book should be of broad general interest to both physicists and mathematicians
 http://library.link/vocab/creatorName
 Duplantier, Bertrand
 Image bit depth
 0
 LC call number
 QA313
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Nonnenmacher, Stéphane.
 Rivasseau, Vincent.
 SpringerLink
 Series statement
 Progress in Mathematical Physics,
 Series volume
 66
 http://library.link/vocab/subjectName

 Mathematics
 Differentiable dynamical systems
 Number theory
 Mathematics
 Dynamical Systems and Ergodic Theory
 Number Theory
 Quantum Field Theories, String Theory
 Statistical Physics, Dynamical Systems and Complexity
 Label
 Chaos : Poincaré Seminar 2010, edited by Bertrand Duplantier, Stéphane Nonnenmacher, Vincent Rivasseau, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Foreword  1 Étienne Ghys, The Lorenz Attractor, a Paradigm for Chaos  2 Stéphan Fauve, Chaotic Dynamos Generated by Fully Turbulent Flows  3 Uzy Smilansky, Discrete Graphs  A Paradigm Model for Quantum Chaos  4 Paul Bourgade and Jonathan P. Keating, Quantum Chaos, Random Matrix Theory, and the Riemann ζfunction  5 HansJürgen Stöckmann, Chaos in Microwave Resonators  6 Stéphane Nonnenmacher, Anatomy of Quantum Chaotic Eigenstates  7 Jacques Laskar, Is the Solar System Stable?
 Dimensions
 unknown
 Extent
 XII, 270 p. 100 illus., 61 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783034806978
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783034806978
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783034806978
 Label
 Chaos : Poincaré Seminar 2010, edited by Bertrand Duplantier, Stéphane Nonnenmacher, Vincent Rivasseau, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Foreword  1 Étienne Ghys, The Lorenz Attractor, a Paradigm for Chaos  2 Stéphan Fauve, Chaotic Dynamos Generated by Fully Turbulent Flows  3 Uzy Smilansky, Discrete Graphs  A Paradigm Model for Quantum Chaos  4 Paul Bourgade and Jonathan P. Keating, Quantum Chaos, Random Matrix Theory, and the Riemann ζfunction  5 HansJürgen Stöckmann, Chaos in Microwave Resonators  6 Stéphane Nonnenmacher, Anatomy of Quantum Chaotic Eigenstates  7 Jacques Laskar, Is the Solar System Stable?
 Dimensions
 unknown
 Extent
 XII, 270 p. 100 illus., 61 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783034806978
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783034806978
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783034806978
Subject
 Differentiable dynamical systems
 Differentiable dynamical systems
 Dynamical Systems and Ergodic Theory
 Electronic resources
 Mathematics
 Mathematics
 Number Theory
 Number Theory
 Number theory
 Number theory
 Quantum Field Theories, String Theory
 Statistical Physics, Dynamical Systems and Complexity
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