We apply the concepts of multifractal physics to financial time series in order to characterize the onset of crash for the Standard & Poor's 500 stock index x(t). It is found that within the framework of multifractality, the "analogous" specific heat of the S&P500 discrete price index displays a shoulder to the right of the main peak for low values of time lags. On decreasing T , the presence of the shoulder is a consequence of the peaked, temporal Pacs: 64.60. Ak, 02.50.+s, 89.90.+n, 01.75.+m
A signal analysis of the complete genome sequenced for coronavirus variants of concern—B.1.1.7 (Alpha), B.1.135 (Beta) and P1 (Gamma)—and coronavirus variants of interest—B.1.429–B.1.427 (Epsilon) and B.1.525 (Eta)—is presented using open GISAID data. We deal with a certain new type of finite alternating sum series having independently distributed terms associated with binary (0,1) indicators for the nucleotide bases. Our method provides additional information to conventional similarity comparisons via alignment methods and Fourier Power Spectrum approaches. It leads to uncover distinctive patterns regarding the intrinsic data organization of complete genomics sequences according to its progression along the nucleotide bases position. The present new method could be useful for the bioinformatics surveillance and dynamics of coronavirus genome variants.
Suspensions of charged rod-like particles are investigated theoretically in a concentration regime where the mean distance between rods is comparable to their length, L. The structure of these systems is studied by Monte Carlo simulations and a perturbation theoretical scheme. Results for the pair distribution function g( 12) are obtained, which show the onset of angular correlations at the cross-over concentration c* = L-3. Above c* there is a tendency for local alignments of neighbouring rods, although the systems remain globally isotropic up to c = 4c*, which is the highest concentration investigated. As a consequence, the peak position k,,, of the structure factor ~( k ) scales as k,,,cl/* for c > c* in contrast to the c " ~ behaviour for c < c*, where the rods behave as spherical particles. The time-correlation function of quasielastic scattering experiments is derived from a dynamical mean field theory. From it the collective diffusion coefficient and the first cumulant are obtained. The influence of the interaction between rods and of the coupling of translational and rotational diffusion are discussed.
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