f^<-β>Power Spectrum and Stable Distribution

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概要

• 論文の詳細を見る

• The fractional integral of white noise produces a fractal fluctuation with a f 'power spectrum. By generaluzing Lloltzrnark's method, we can exactly calculate thedistribution function of the fluctuation. The obtained distribution is the Levy's stabledistribution of which the characteristic exponent is a simple f'unction of p. This resultmay give a new insight to the basic study of experimentally observed fractal noises,especially those in turbulence.

• 社団法人日本物理学会の論文
• 1987-04-15

著者

• Takayasu Hideki

  Department Of Earth Sciences Kobe University

関連論文

• Steady Distributions in Aggregation Process of Sticky Particles
• Stable Distribution and Levy Process in Fractal Turbulence
• Stable Distribution and Le^'vy Prosecc in Fractal Turbulence : Condensed Matter and Statistical Physics
• Differential Fractal Dimension of Random Walk and Its Applications to Physical Systems
• f^Power Spectrum and Stable Distribution
• Fractal Clusters and Stable Distribution
• Statistical Properties of a 3-Wave System
• A Deterministic Model of Fracture

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