منابع مشابه
Statistical properties of chaotic binary sequences
Mean value and cross-covariance function of chaotic binary sequences are evaluated for chaotic maps with specific properties. We also take into account the effect of fixedand floating-point representations on statistical properties of chaotic generators. Thus, one is able to obtain possible candidates for pseudo-random binary sequences generation. Results of statistical tests applied to chaotic...
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The field of quantum chaos is developing very fast and there has been substantial progress in our understanding of generic properties of eigenstates in classically nonintegrable and chaotic bound systems. In contrast to the theoretical description of the energy spectra (and of other quantal observables) where we have now a rather complete understanding of the spectral statistical universality c...
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We ask whether statistical averages in chaotic systems can be computed or measured reliably under the influence of noise. Situations are identified where the invariance of such averages breaks down as the noise amplitude increases through a critical level. An algebraic scaling law is obtained which relates the change of the averages to the noise variation. This breakdown of shadowability of sta...
متن کاملTransport properties of chaotic and non-chaotic many particle systems
Two deterministic models for Brownian motion are investigated by means of numerical simulations and kinetic theory arguments. The first model consists of a heavy hard disk immersed in a rarefied gas of smaller and lighter hard disks acting as a thermal bath. The second is the same except for the shape of the particles, which is now square. The basic difference of these two systems lies in the i...
متن کاملStatistical Properties of Energy Levels of Chaotic Systems: Wigner or Non-Wigner?
For systems whose classical dynamics is chaotic, it is generally believed that the local statistical properties of the quantum energy levels are well described by Random Matrix Theory. We present here two counterexamples the hydrogen atom in a magnetic field and the quartic oscillator which display nearest neighbor statistics strongly different from the usual Wigner distribution. We interpret t...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1991
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1991-15953-7