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Long-range power-law correlations in condensed matter physics and biophysics

Author

Listed:
  • Stanley, H.E.
  • Buldyrev, S.V.
  • Goldberger, A.L.
  • Havlin, S.
  • Peng, C.-K.
  • Simons, M.

Abstract

We discuss the appearance of long-range power-law correlations in various systems of interest to condensed matter physicists and biophysicists, with emphasis on the recent discovery of long-range correlations in DNA sequences that contain non-coding regions.

Suggested Citation

  • Stanley, H.E. & Buldyrev, S.V. & Goldberger, A.L. & Havlin, S. & Peng, C.-K. & Simons, M., 1993. "Long-range power-law correlations in condensed matter physics and biophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 4-24.
    • Handle: RePEc:eee:phsmap:v:200:y:1993:i:1:p:4-24
    DOI: 10.1016/0378-4371(93)90500-4
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    Cited by:

    1. Li, Ming & Sun, Xichao & Xiao, Xi, 2019. "Revisiting fractional Gaussian noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 56-62.
    2. Absil, P.-A & Sepulchre, R & Bilge, A & Gérard, P, 1999. "Nonlinear analysis of cardiac rhythm fluctuations using DFA method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 235-244.
    3. Li, Ming & Zhang, Peidong & Leng, Jianxing, 2016. "Improving autocorrelation regression for the Hurst parameter estimation of long-range dependent time series based on golden section search," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 189-199.
    4. Li, Ming & Zhao, Wei, 2012. "Quantitatively investigating the locally weak stationarity of modified multifractional Gaussian noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6268-6278.
    5. Rosenblum, Michael & Kurths, Jürgen, 1995. "A model of neural control of the heart rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(4), pages 439-450.
    6. Ritto, P.A. & Alvarado-Gil, J.J. & Contreras, J.G., 2005. "Scaling and wavelet-based analyses of the long-term heart rate variability of the Eastern Oyster," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(1), pages 291-301.
    7. Muniandy, Sithi V. & Uning, Rosemary, 2006. "Characterization of exchange rate regimes based on scaling and correlation properties of volatility for ASEAN-5 countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 585-598.
    8. Zaks, Michael A., 2002. "Influence of noise on dynamics with fractal Fourier spectra," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(3), pages 285-307.
    9. Castro e Silva, A. & Moreira, J.G., 1997. "Roughness exponents to calculate multi-affine fractal exponents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(3), pages 327-333.
    10. Nagatani, Takashi & Seno, Tadachika, 1994. "Traffic jam induced by a crosscut road in a traffic-flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(4), pages 574-583.
    11. Chapeau-Blondeau, François, 2007. "Autocorrelation versus entropy-based autoinformation for measuring dependence in random signal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 1-18.
    12. Li, Ming & Zhao, Wei, 2013. "On bandlimitedness and lag-limitedness of fractional Gaussian noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 1955-1961.

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