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多重分形与地震 被引量:23

MULTIFRACTALS AND EARTHQUAKE
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摘要 本文介绍了多重分形理论的主要内容、广义维数D_q和f(a)谱的测算方法,评述了国外对地震空间分布多重分形研究的最新进展,指出地震多重分形的相变是当前急待解决的重要问题。 The basic concepts of the multifractals and calculation methods of the generalized dimensions D_q and multifractal spectrum f(α) are introduced. The newest developments on researches in space distri- bution of earthquakes by multifractal approach are reviewed. This paper finds out that the phase transi- tion for multifractals is a key problem for earthquake research.
出处 《四川地震》 1991年第2期8-18,共11页 Earthquake Research in Sichuan
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  • 1Beno?t B. Mandelbrot. Multifractal measures, especially for the geophysicist[J] 1989,Pure and Applied Geophysics PAGEOPH(1-2):5~42
  • 2P. Grassberger,R. Badii,A. Politi. Scaling laws for invariant measures on hyperbolic and nonhyperbolic atractors[J] 1988,Journal of Statistical Physics(1-2):135~178

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