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

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发表于 2025-3-21 16:49:17 | 显示全部楼层 |阅读模式
书目名称Chaos
副标题Poincaré Seminar 201
编辑Bertrand Duplantier,Stéphane Nonnenmacher,Vincent
视频video
概述Renowned scientists present different facets of chaotic dynamics.Addresses students and researchers in physics and mathematics.Based on educational lectures given at the Institut Henri Poincaré in Par
丛书名称Progress in Mathematical Physics
图书封面Titlebook: Chaos; Poincaré Seminar 201 Bertrand Duplantier,Stéphane Nonnenmacher,Vincent  Book 2013 Springer Basel 2013 Riemann zeta-function.billiard
描述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 .d-.regular expander graphs – which a
出版日期Book 2013
关键词Riemann zeta-function; billiards; celestial mechanics; chaotic dynamos; quantum chaos; random matrix theo
版次1
doihttps://doi.org/10.1007/978-3-0348-0697-8
isbn_ebook978-3-0348-0697-8Series ISSN 1544-9998 Series E-ISSN 2197-1846
issn_series 1544-9998
copyrightSpringer Basel 2013
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Progress in Mathematical Physicshttp://image.papertrans.cn/c/image/223856.jpg
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https://doi.org/10.1007/978-3-642-02890-8y Lorenz’s butterfly effect: . A tiny cause can generate big consequences! Mathematicians (and non mathematicians) have known this fact for a long time! Can one adequately summarize chaos theory is such a simple minded way? In this review paper, I would like first of all to sketch some of the main s
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pVT data of polyethylene in propane,he roots of this problem, various simplified models were proposed and used. Here a very simple model of a random walker on large .-regular graphs, and its quantum analogue are proposed as a paradigm which shares many salient features with realistic models – namely the affinity of the spectral statis
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pVT data of poly(ethylene oxide) in water, the billiard shape there is a one-to-one correspondence between the stationary Schrödinger equation and the Helmholtz equation. This allows an experimental access to questions hitherto studied exclusively theoretically. In the article various aspects of quantum chaos are presented and illustrated b
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pVT data of poly(ethylene oxide) in water, the Solar System. As mentioned by Poincaré, several demonstrations of the stability of the Solar System have been published. By Laplace and Lagrange in the first place, then by Poisson, and more recently by Arnold. Others came after again. . These rigorous demonstrations are in fact various approxi
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