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@ARTICLE{Bartolozzi:50432,
      author       = {Bartolozzi, M. and Drozdz, S. and Leinweber, D. B. and
                      Speth, J. and Thomas, A. W.},
      title        = {{S}elf-{S}imilar {L}og-{P}eriodic {S}tructures in {W}estern
                      {S}tock {M}arkets from 2000},
      journal      = {International journal of modern physics / C},
      volume       = {16},
      issn         = {0129-1831},
      address      = {Singapore [u.a.]},
      publisher    = {World Scientific},
      reportid     = {PreJuSER-50432},
      pages        = {1347 - 1361},
      year         = {2005},
      note         = {Record converted from VDB: 12.11.2012},
      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 lambda similar to 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     = {J (WoSType)},
      cin          = {IKP-TH},
      ddc          = {530},
      cid          = {I:(DE-Juel1)VDB223},
      pnm          = {Physik der Hadronen},
      pid          = {G:(DE-Juel1)FUEK241},
      shelfmark    = {Computer Science, Interdisciplinary Applications / Physics,
                      Mathematical},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000232638300002},
      doi          = {10.1142/S0129183105007972},
      url          = {https://juser.fz-juelich.de/record/50432},
}