Chaos Poincaré Seminar 2010 Bertrand Duplantier, Stéphane Nonnenmacher, Vincent Rivasseau, editors

Format:

Book

Conference/Event

Contributor:

Duplantier, Bertrand, editor.

Nonnenmacher, Stephane, 1972- editor.

Rivasseau, Vincent, 1955- editor.

Conference Name:

Poincaré Seminar (14th : 2010 : Institut Henri Poincaré)

Series:

Progress in mathematical physics ; 2197-1846 v. 66

Progress in mathematical physics 2197-1846 v. 66

Language:

English

Subjects (All):

Chaotic behavior in systems--Congresses.

Chaotic behavior in systems.

Quantum chaos--Congresses.

Quantum chaos.

Quantum theory--Congresses.

Quantum theory.

Genre:

proceedings (reports)

Conference papers and proceedings

Physical Description:

1 online resource

Place of Publication:

Basel New York Springer [2013]

Language Note:

English

System Details:

text file PDF

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

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 d-regular 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 ζ-function and the statistics of eigenvalues of random unitary matrices, which could ultimately provide a spectral interpretation for the zeros of the ζ-function, thus a proof of the celebrated Riemann Hypothesis itself; an article by a pioneer of experimental quantum chaos, H-J

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 ?-function

5 Hans-Jürgen Stöckmann, Chaos in Microwave Resonators

6 Stéphane Nonnenmacher, Anatomy of Quantum Chaotic Eigenstates

7 Jacques Laskar, Is the Solar System Stable

4 Paul Bourgade and Jonathan P. Keating, Quantum Chaos, Random Matrix Theory, and the Riemann ζ-function

Notes:

" ... Fourteenth seminar, held on June 5, 2010"

Includes bibliographical references and index

Online resource; title from PDF title page (ebrary, viewed January 4, 2014)

Other Format:

Printed edition:

ISBN:

9783034806978

3034806973

3034806965

9783034806961

OCLC:

868920998

Access Restriction:

Restricted for use by site license