منابع مشابه
Statistical Analysis of Composite Spectra
We consider nearest–neighbor spacing distributions of composite ensembles of levels. These are formed as a superposition of independently unfolded sequences of levels containing only few levels each. Two problems arise in the spectral analysis of such data. One problem lies in fitting the nearest–neighbor spacing distribution function to the histogram of level spacings obtained from the data. W...
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We have calculated and statistically analyzed the magnetic-field spectrum (the “B-spectrum”) at fixed electron Fermi energy for two quantum dot systems with classically chaotic shape. This is a new problem which arises naturally in transport measurements where the incoming electron has a fixed energy while one tunes the magnetic field to obtain resonance conductance patterns. The “B-spectrum”, ...
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Code Division Multiple Access (CDMA) in which the spreading code assignment to users contains a random element has recently become a cornerstone of CDMA research. The random element in the construction is particular attractive as it provides robustness and flexibility in utilising multi-access channels, whilst not making significant sacrifices in terms of transmission power. Random codes are ge...
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Granger causality analysis is becoming central for the analysis of interactions between neural populations and oscillatory networks. However, it is currently unclear whether single-trial estimates of Granger causality spectra can be used reliably to assess directional influence. We addressed this issue by combining single-trial Granger causality spectra with statistical inference based on gener...
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The Gram matrix plays a central role in many kernel methods. Knowledge about the distribution of eigenvalues of the Gram matrix is useful for developing appropriate model selection methods for kernel PCA. We use methods adapted from the statistical physics of classical fluids in order to study the averaged spectrum of the Gram matrix. We focus in particular on a variational mean-field theory an...
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 2006
ISSN: 0003-4916
DOI: 10.1016/j.aop.2005.04.005