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Type: Journal article
Title: Self-similar log-periodic structures in western stock markets from 2000
Author: Bartolozzi, M.
Drozdz, S.
Leinweber, D.
Speth, J.
Thomas, A.
Citation: International Journal of Modern Physics C, 2005; 16(9):1347-1361
Publisher: World Scientific Publishing Co
Issue Date: 2005
ISSN: 0129-1831
Statement of
M. Bartolozzi, S. Drozdz, D. B. Leinweber, J. Speth, and A. W. Thomas
Abstract: The presence of log-periodic structures before and after stock market crashes is considered to be an imprint of an intrinsic discrete scale invariance (DSI) in this complex system. The fractal framework of the theory leaves open the possibility of observing self-similar log-periodic structures at different time scales. In the present work, we analyze the daily closures of four of the most important indices worldwide since 2000: the DAX for Germany and the NASDAQ-100, the S&P 500 and the Dow Jones for the United States. The qualitative behavior of these different markets is similar during the temporal frame studied. Evidence is found for decelerating log-periodic oscillations of duration about two years and starting in September 2000. Moreover, a nested sub-structure starting in May 2002 is revealed, bringing more evidence to support the hypothesis of self-similar, log-periodic behavior. Ongoing log-periodic oscillations are also revealed. A Lomb analysis over the aforementioned periods indicates a preferential scaling factor λ~2. Higher order harmonics are also present. The spectral pattern of the data has been found to be similar to that of a Weierstrass-type function, used as a prototype of a log-periodic fractal function.
Keywords: Discrete scale invariance; econophysics; complex systems
Rights: © 2005 World Scientific Publishing Co Pte Ltd
RMID: 0020051137
DOI: 10.1142/S0129183105007972
Appears in Collections:Special Research Centre for the Subatomic Structure of Matter publications

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