Numerical investigations of discrete scale invariance in fractals and multifractal measures
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DOI: 10.1016/j.physa.2009.03.023
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- A. Johansen & H. Saleur & D. Sornette, 2000. "New evidence of earthquake precursory phenomena in the 17 January 1995 Kobe earthquake, Japan," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 15(3), pages 551-555, June.
- Mandelbrot, Benoit B., 1990. "New “anomalous” multiplicative multifractals: Left sided ƒ(α) and the modelling of DLA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 95-111.
- Wei-Xing Zhou & Didier Sornette, 2002. "Statistical Significance Of Periodicity And Log-Periodicity With Heavy-Tailed Correlated Noise," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 137-169.
- Wei-Xing Zhou & Didier Sornette & Vladilen Pisarenko, 2003. "New Evidence Of Discrete Scale Invariance In The Energy Dissipation Of Three-Dimensional Turbulence: Correlation Approach And Direct Spectral Detection," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(04), pages 459-470.
- A. Johansen & D. Sornette, 1998. "Evidence of Discrete Scale Invariance in DLA and Time-to-Failure by Canonical Averaging," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 433-447.
- Zaslavsky, George M, 2000. "Multifractional kinetics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 288(1), pages 431-443.
- Zhou, Wei-Xing & Yu, Zun-Hong, 2001. "On the properties of random multiplicative measures with the multipliers exponentially distributed," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 294(3), pages 273-282.
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Cited by:
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- Zhi-Qiang Jiang & Wei-Xing Zhou & D. Sornette & Ryan Woodard & Ken Bastiaensen & Peter Cauwels, "undated". "Bubble Diagnosis and Prediction of the 2005-2007 and 2008-2009 Chinese stock market bubbles," Working Papers CCSS-09-008, ETH Zurich, Chair of Systems Design.
- Zhi-Qiang JIANG & Wei-Xing ZHOU & Didier SORNETTE & Ryan WOODARD & Ken BASTIAENSEN & Peter CAUWELS, 2009. "Bubble Diagnosis and Prediction of the 2005-2007 and 2008-2009 Chinese stock market bubbles," Swiss Finance Institute Research Paper Series 09-39, Swiss Finance Institute.
- Zhi-Qiang Jiang & Wei-Xing Zhou & Didier Sornette & Ryan Woodard & Ken Bastiaensen & Peter Cauwels, 2009. "Bubble Diagnosis and Prediction of the 2005-2007 and 2008-2009 Chinese stock market bubbles," Papers 0909.1007, arXiv.org, revised Oct 2009.
- Jiang, Zhi-Qiang & Ren, Fei & Gu, Gao-Feng & Tan, Qun-Zhao & Zhou, Wei-Xing, 2010. "Statistical properties of online avatar numbers in a massive multiplayer online role-playing game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 807-814.
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Keywords
Fractal and multifractal; Discrete scale invariance; Log-periodicity; Complex dimensions; Numerical simulations;All these keywords.
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