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Arbitrary-order Hilbert spectral analysis for time series possessing scaling statistics: a comparison study with detrended fluctuation analysis and wavelet leaders
Arbitrary-order Hilbert spectral analysis time series wavelet leaders
2011/8/5
Abstract: In this paper we present an extended version of Hilbert-Huang transform, namely arbitrary-order Hilbert spectral analysis, to characterize the scale-invariant properties of a time series dir...
Time-convolutionless master equation for quantum dots: Perturbative expansion to arbitrary order
Time-convolutionless master equation quantum dots Perturbative expansion arbitrary order
2010/11/19
The master equation describing the non-equilibrium dynamics of a quantum dot coupled to metallic leads is considered. Employing a superoperator approach, we derive an exact time-convolutionless master...
Arbitrary-order non-linear contribution to self-steepening
Arbitrary-order non-linear self-steepening
2010/11/16
Based on the recently published generalized Miller formula, we derive the spectral dependence of the contribution of arbitrary-order non-linear indices to the group-velocity index. We show that in th...
