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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...
Exact solution for eigenfunction statistics at the center-of-band anomaly in the Anderson localization model
Exact solution for eigenfunction statistics Anderson localization model
2010/11/24
An exact solution is found for the problem of the center-of-band (E = 0) anomaly in the one-
dimensional (1D) Anderson model of localization. By deriving and solving an equation for the
generating f...
Exclusion statistics for quantum Hall states in Tao-Thouless limit
quantum Hall states Tao-Thouless limit
2010/11/19
We consider spin-polarized abelian quantum Hall states in the Tao-Thouless limit, ie on a thin
torus. For any filling factor = p/q a well-defined sector of low-energy states is dentified and the ex...
Conductance through quantum wires with Levy-type disorder: universal statistics in anomalous quantum transport
Conductance through quantum wires Levy-type disorder anomalous quantum transport
2010/11/23
Random processes characterized by density probabilities with a long tail–L´evy-type
processes– have been found in very different phenomena and fields such as biology, economy, and physics.
Commensurability effects in one-dimensional Anderson localization: anomalies in eigenfunction statistics
Commensurability effects eigenfunction statistics
2010/11/18
The one-dimensional (1d) Anderson model (AM), i.e. a tight-binding chain with uncorrelated Gaussian disorder in the on-site energies, has statistical anomalies at any rational point f = 2a E , where ...
Environmental effects on the $x^{4}$ model in Tsallis statistics
Non-extensive statistics Squeezing x4 model
2010/11/17
The author studied the effects of the environment described by Tsallis statistics in quantum
mechanics, when the deviation from Boltzmann-Gibbs (BG) statistics is small. The x4 model was used and the...
The Schrödinger equation for the evolution of isolated quantum systems determines the constants
of motion for the dynamical problem, which can be identified with the populations along the
princ...
Statistics of Eigenfunctions in 1D Tight Binding Model:
Distribution of Riccati Variable
one-dimensional tight binding model distribution of Riccati
variable Lorentzian distribution
2007/8/15
2001Vol.36No.3pp.271-280DOI:
Statistics of Eigenfunctions in 1D Tight Binding Model:
Distribution of Riccati Variable
WANG Wen-Ge
Department of Physics, Southeast Univer...
Energy Level Statistics in Particle-Rotor Model
particle-rotor model spectral statistics the nearest-neighbor
distribution spectral rigidity
2007/8/15
2002Vol.37No.5pp.583-588DOI:
Energy Level Statistics in Particle-Rotor Model
ZHOU Xian-Rong,1 GUO Lu,1 MENG Jie,2,3 and ZHAO En-Guang1,3,4
1 Institute of Theoretical Phy...
Energy Level Statistics of SO(5) Limit of Super-symmetry U(6/4) inInteracting Boson-Fermion Model
interacting boson-fermion model SO(5) limit of
super-symmetry U(6/4) odd-A nucleus level statistics energy levels
unfolding nearest neighbor spacing distribution spectral rigidity
2007/8/15
2005Vol.44No.5pp.897-900DOI:
Energy Level Statistics of SO(5) Limit of Super-symmetry U(6/4) inInteracting Boson-Fermion Model
BAI Hong-Bo,1 ZHANG Jin-Fu,1 and ZHOU Xian-Rong2
...