52 citations · 107 across the 13 of their papers we have counts for
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cond-mat.stat-mech2001★ 15 cited
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…
cond-mat.stat-mech2001★ 52 cited
PDF of Velocity Fluctuation in Turbulence by a Statistics based on Generalized Entropy
Toshihico Arimitsu, Naoko Arimitsu
An analytical formula for the probability density function (PDF) of the velocity fluctuation in fully-developed turbulence is derived, non-perturbatively, by assuming that its unde…
cond-mat.stat-mech2001★ 2 cited
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…