Intrinsic Probability of a Multifractal Set
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概要
- 論文の詳細を見る
It is shown that a self-sin?i1ar measure isotropically distributed in a #-dimensionalset should have its own intermittency exponents equivalent to its own generalizeddimensions (in the sense of l-Ientschel and Procaccia), and that the intermittency ex-ponents are completely designated by an intriutsic probability which governs thespatial distributiccn of the measure. Based on this, it is proven that the intrinsicprobability uniquely determines the spatial distribution of the scaling index cx of themeasure as well as the so-called f -a spectrum of tlte multifractal set.[intrinsic probability; multifractal; self-similar measure; intermittency ex- ll ponextts; generalized dimensions; j' - C( spectrum; scaling indexl
- 社団法人日本物理学会の論文
- 1991-12-15
著者
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HOSOKAWA Iwao
University of Electro-Communications
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HOSOKAWA Iwao
University of Electoro-cammunication
関連論文
- Existence and Significance of 'Soft Worms'in Isotropic Turbulence*
- Collisionless Damping of Perpendicular Magnetosonic Waves in a Two-Ion-Spacies Plasma
- Trinomial Generalized Cantor Set Model for Isotropic Turbulence
- Statistics of Lateral Velocity Increment in Isotropic Tubulence
- Advected Scalar Version of the Differences between the True Dissipation and Its One-Dimensional Surrogate in Isotropic Turbulence
- Fundamental Properties of "Homogeneous" Multifractals
- Intrinsic Probability of a Multifractal Set
- フラクタルの統計法則(乱流の発生と統計法則)
- Statistics of Velocity Difference vs.Statistics of Dissipation in Isotropic Turbulence
- The Statistics of Velocity Difference Vs. the Statistics of Dissipation in Isotropic Turbulence(Instability of Flows and Vortex Structure of Turbulent Flows)
- On the Concept of Scale-Invariant Multiplier Distribution in Turbulence
- A Paradox of the 1D Surrogate of Dissipation Rate in Isotropic Turbulence
- Statistics of Velocity Increment in Turbulence Predicted from the Kolmogorov Refined Similarity Hypothesis
- Addendum to "Statistics of Velocity Difference vs. Statistics of Dissipation in Isotropic Turbulence"
- 3D Displayed Multifractal Structure of Turbulent Dissipation Field
- Multifractal Structure of the Random β Model
- Extension of the Kolmogorov refined similarity hypothesis for iostropic turbulence
- Spectrum of Fractal Dimension d(h) for Velocity Increment in Isotropic Turbulence