Regression law of fluctuations and a self-similarity law of fractals in stochastic processes
β Scribed by M. Ochiai; A. Holz; Y. Yamazaki; R. Ozao
- Book ID
- 112836564
- Publisher
- Springer-Verlag,Italian Physical Society
- Year
- 1989
- Weight
- 885 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0369-3554
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π SIMILAR VOLUMES
## Abstract Power laws as defined in 1926 by A. Lotka are increasing in importance because they have been found valid in varied social networks including the Internet. In this article some unique properties of power laws are proven. They are shown to characterize functions with the scaleβfree prope
The origin of log-periodic oscillations around the power-law trend of the escape probability from a precritical attractor and of the noise-free stochastic multiresonance, found in numerical simulations in chaotic systems close to crises is discussed. It is shown that multiple maxima of the spectral