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Transition matrix analysis of earthquake magnitude sequences

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  • Lovallo, Michele
  • Lapenna, Vincenzo
  • Telesca, Luciano

Abstract

Estimation of complexity is a fascinating research topic in nonlinear signal and system analysis. Information theoretic functionals can be used to identify and quantify general relationships among variables; these relationships can be considered as the fingerprints of complexity. Up to now, the complexity of seismic sequences has been mostly related to the concept of self-similarity, suggesting that the earthquake dynamics can be interpreted as due to many components interacting over a wide range of time or space scales. This paper deals with a new idea of complexity of seismicity, focusing, in particular, on the transition probability between magnitudes. Using the Transition Matrix Method, a set of complexity parameters can be defined for earthquakes. Furthermore, the relationships among these parameters and those characterizing the earthquake magnitude dynamics have been analyzed in simulated and observational seismic sequences.

Suggested Citation

  • Lovallo, Michele & Lapenna, Vincenzo & Telesca, Luciano, 2005. "Transition matrix analysis of earthquake magnitude sequences," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 33-43.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:1:p:33-43
    DOI: 10.1016/j.chaos.2004.07.024
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    1. Stanley, H.E. & Amaral, L.A.N. & Goldberger, A.L. & Havlin, S. & Ivanov, P.Ch. & Peng, C.-K., 1999. "Statistical physics and physiology: Monofractal and multifractal approaches," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 309-324.
    2. Torres, M.E. & Gamero, L.G., 2000. "Relative complexity changes in time series using information measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(3), pages 457-473.
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    1. Chunlai Wang & Cong Cao & Yubo Liu & Changfeng Li & Guangyong Li & Hui Lu, 2021. "Experimental investigation on synergetic prediction of rockburst using the dominant-frequency entropy of acoustic emission," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 108(3), pages 3253-3270, September.

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