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Universality of non-extensive Tsallis statistics and time series analysis: Theory and applications

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  • Pavlos, G.P.
  • Karakatsanis, L.P.
  • Xenakis, M.N.
  • Pavlos, E.G.
  • Iliopoulos, A.C.
  • Sarafopoulos, D.V.

Abstract

We investigate Tsallis q-statistics for various complex physical systems. In particular, the Tsallis q-triplet is estimated for space plasmas, atmospheric dynamics, seismicity, and brain and cardiac activity. Remarkable agreement between theoretical Tsallis predictions and experimental estimations was observed in all cases. We also present theoretical extensions of Tsallis q-statistics for intermittent turbulence theory, non-equilibrium statistics, and fractal extension of dynamics.

Suggested Citation

  • Pavlos, G.P. & Karakatsanis, L.P. & Xenakis, M.N. & Pavlos, E.G. & Iliopoulos, A.C. & Sarafopoulos, D.V., 2014. "Universality of non-extensive Tsallis statistics and time series analysis: Theory and applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 58-95.
    • Handle: RePEc:eee:phsmap:v:395:y:2014:i:c:p:58-95
    DOI: 10.1016/j.physa.2013.08.026
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    7. Pavlos, G.P. & Karakatsanis, L.P. & Xenakis, M.N., 2012. "Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma, Part one: Sunspot dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6287-6319.
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    Cited by:

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    2. Iliopoulos, A.C. & Nikolaidis, N.S. & Aifantis, E.C., 2015. "Portevin–Le Chatelier effect and Tsallis nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 509-518.
    3. Pavlos, G.P. & Malandraki, O.E. & Pavlos, E.G. & Iliopoulos, A.C. & Karakatsanis, L.P., 2016. "Non-extensive statistical analysis of magnetic field during the March 2012 ICME event using a multi-spacecraft approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 464(C), pages 149-181.
    4. Tadić, Bosiljka, 2018. "Dynamical implications of sample shape for avalanches in 2-dimensional random-field Ising model with saw-tooth domain wall," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 330-341.
    5. Zhang, Fode & Shi, Yimin & Wang, Ruibing, 2017. "Geometry of the q-exponential distribution with dependent competing risks and accelerated life testing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 552-565.
    6. Karakatsanis, L.P. & Pavlos, G.P. & Iliopoulos, A.C. & Pavlos, E.G. & Clark, P.M. & Duke, J.L. & Monos, D.S., 2018. "Assessing information content and interactive relationships of subgenomic DNA sequences of the MHC using complexity theory approaches based on the non-extensive statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 77-93.
    7. Miśkiewicz, Janusz, 2016. "Improving quality of sample entropy estimation for continuous distribution probability functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 473-485.

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