15 citations · 27 across the 6 of their papers we have counts for
6 papers
Multifractal PDF analysis for intermittent systems
T. Arimitsu, N. Arimitsu
The formula for probability density functions (PDFs) has been extended to include PDF for energy dissipation rates in addition to other PDFs such as for velocity fluctuations, velo…
An Aspect of Granulence in view of Multifractal Analysis
N. Arimitsu, T. Arimitsu
The probability density function of velocity fluctuations of {\em glanulence} observed by Radjai and Roux in their two-dimensional simulation of a slow granular flow under homogene…
Harmonious Representation of PDF's reflecting Large Deviations
T. Arimitsu, N. Arimitsu
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 ut…
Multifractal analysis of fluid particle accelerations in turbulence
T. Arimitsu, N. Arimitsu
The probability density function (PDF) of accelerations in turbulence is derived analytically with the help of the multifractal analysis based on generalized entropy, i.e., the Tsa…
Analysis of Velocity Fluctuation in Turbulence based on Generalized Statistics
T. Arimitsu, N. Arimitsu
The numerical experiments of turbulence conducted by Gotoh et al. are analyzed precisely with the help of the formulae for the scaling exponents of velocity structure function and…
Multifractal Analysis of Turbulence by Statistics based on Non-Extensive Tsallis' or Extensive Rényi's Entropy
N. Arimitsu, T. Arimitsu
An analytical expression of probability density function (PDF) of velocity fluctuation is derived with the help of the statistics based on generalized entropy (the Tsallis entropy…