We show that the nearest neighbor distribution of distances between basis pairs of some intron-less and intron-containing coding regions are the same when a procedure, called unfolding, is applied. Such a procedure consists in separating the secular variations from the oscillatory terms. The...

Statistical analysis of whole genomic sequences usually assumes a homogeneous nucleotide density throughout the genome, an assumption that has been proved incorrect for several organisms since the nucleotide density is only locally homogeneous. To avoid giving a single numerical value to this...

The multifractal detrended fluctuation analysis of time series is able to reveal the presence of long-range correlations and, at the same time, to characterize the self-similarity of the series. The rich information derivable from the characteristic exponents and the multifractal spectrum can be...

Multifractal behavior is found in traffic speed time series and mostly measured around the concept of Legendre singularity spectrum. As one of the multifractal spectra, which is the probability distribution of roughness grain exponent, Legendre spectrum is structurally blind to subtle features...

The notion of measure representation of protein sequences is introduced based on the detailed HP model. Multifractal analysis and detrended fluctuation analysis are then performed on the measure representations of a large number of long protein sequences. It is concluded that these protein...

The framework of multifractal analysis (MFA) is distilled to the most sophisticated one. Within this transparent framework, it is shown that the harmonious representation of MFA utilizing two distinct Tsallis distribution functions, one for the tail part of probability density function (PDF) and...

The coding and noncoding length sequences constructed from a complete genome are characterised by multifractal analysis. The dimension spectrum Dq and its derivative, the ‘analogous’ specific heat Cq, are calculated for the coding and noncoding length sequences of bacteria, where q is the...

Recent studies in the econophysics literature reveal that price variability has fractal and multifractal characteristics not only in developed financial markets, but also in emerging markets. Taking high-frequency intraday quotes of the Shanghai Stock Exchange Component (SSEC) Index as example,...

Surface latent heat flux (SLHF) has been associated with the study of natural hazards, such as earthquakes and hurricanes and has been proposed as a useful quantity in the prediction and monitoring of their evolution. In the present study the Mediterranean Sea, parts of Europe, Africa and Turkey...

The statistical properties of the multipliers of the absolute returns are investigated using 1-min high-frequency data of financial time series. The multiplier distribution is found to be independent of the box size s when s is larger than some crossover scale, providing direct evidence of the...