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Fluctuation analysis of the time dynamics of laser distance data measured in the medieval Jeroným Mine (Czech Republic)

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  • Telesca, Luciano
  • Lovallo, Michele
  • Kaláb, Zdenek
  • Lednická, Marketa

Abstract

Fractal tools are used to investigate the hourly time fluctuations of the ceiling height of a chamber located in the medieval Jeroným Mine, which is one of the Cultural National Heritage sites of the Czech Republic. The data were measured from 2008 to 2010 by a laser distance meter (Leica DISTOTMA4). The scaling behavior is revealed by means of different statistics: the power spectrum method, the detrended fluctuation analysis, the Higuchi analysis and the mean distance spanned within time L. The values of the scaling exponents estimated by means of these methods indicate that the temporal fluctuations of the ceiling height are not typical of a purely random stochastic process (i.e. white noise), but evidence the presence of long-range correlations. Furthermore, it is found that these correlations are linear.

Suggested Citation

  • Telesca, Luciano & Lovallo, Michele & Kaláb, Zdenek & Lednická, Marketa, 2011. "Fluctuation analysis of the time dynamics of laser distance data measured in the medieval Jeroným Mine (Czech Republic)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3551-3557.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:20:p:3551-3557
    DOI: 10.1016/j.physa.2011.04.026
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    References listed on IDEAS

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    1. Dünki, Rudolf M & Keller, Elvira & Meier, Peter F & Ambühl, Brigitte, 2000. "Temporal patterns of human behaviour: are there signs of deterministic 1/f scaling?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 276(3), pages 596-609.
    2. Kantelhardt, Jan W & Koscielny-Bunde, Eva & Rego, Henio H.A & Havlin, Shlomo & Bunde, Armin, 2001. "Detecting long-range correlations with detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 441-454.
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