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

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pVT data of poly(ethylene oxide) in water, System is chaotic. This prohibits any accurate prediction of the planetary trajectories beyond a few tens of millions of years. The recent simulations even show that planetary collisions or ejections are possible on a period of less than 5 billion years, before the end of the life of the Sun.

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Chaos in Microwave Resonators,iclassical quantum mechanics is introduced, establishing a link between the quantummechanical Green function and the classical trajectories. The article ends with a presentation of recent applications of wave-chaos research.

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Book 2013r 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

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Anatomy of Quantum Chaotic Eigenstates,e measures reflect the asymptotic “shape” of a sequence of high frequency eigenmodes. The quantum ergodicity theorem states that the vast majority of the eigenstates is associated with the “flat” (Liouville) measure. A major open problem addresses the existence of “exceptional” eigenmodes admitting

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The Lorenz Attractor, a Paradigm for Chaos,y 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