Titlebook: Chaos; Poincaré Seminar 201 Bertrand Duplantier,Stéphane Nonnenmacher,Vincent Book 2013 Springer Basel 2013 Riemann zeta-function.billiard

一回合

https://doi.org/10.1007/978-3-0348-0697-8Riemann zeta-function; billiards; celestial mechanics; chaotic dynamos; quantum chaos; random matrix theo

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1544-9998 ational lectures given at the Institut Henri Poincaré in ParThis 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

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https://doi.org/10.1007/978-3-642-02890-8lent velocity field that involves a wide range of interacting scales, we observe that its dynamics results from a small number of interacting modes. We present a model that describes both periodic and random reversals of the magnetic field and compare it with the experimental results and direct numerical simulations.

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pVT data of polyethylene in propane,gous formula that connects the Riemann zeros and the primes. We also review the role played by Random Matrix Theory in both quantum chaos and the theory of the zeta function. The parallels we review are conjectural and still far from being understood, but the ideas have led to substantial progress in both areas.

兵团

Chaotic Dynamos Generated by Fully Turbulent Flows,lent velocity field that involves a wide range of interacting scales, we observe that its dynamics results from a small number of interacting modes. We present a model that describes both periodic and random reversals of the magnetic field and compare it with the experimental results and direct numerical simulations.

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The Lorenz Attractor, a Paradigm for Chaos,teps in the historical development of the concept of chaos in dynamical systems, from the mathematical point of view. Then, I would like to present the present status of the Lorenz attractor in the panorama of the theory, as we see it Today.

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,Discrete Graphs – A Paradigm Model for Quantum Chaos,tics with random matrix theory, the role of cycles and their statistics, and percolation of level sets of the eigenvectors. These concepts will be explained and reviewed with reference to the original publications for further details.

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