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Superstatistics, escort distributions, and applications

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  • Beck, Christian

Abstract

Superpositions of different statistics on different time or spatial scales (in short, superstatistics) can naturally lead to an effective description by nonextensive statistical mechanics. We first discuss the role of escort distributions within the superstatistical framework, and then briefly describe recent physical applications of this concept to turbulent and pattern forming systems.

Suggested Citation

  • Beck, Christian, 2004. "Superstatistics, escort distributions, and applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(1), pages 139-144.
    • Handle: RePEc:eee:phsmap:v:342:y:2004:i:1:p:139-144
    DOI: 10.1016/j.physa.2004.04.070
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    Citations

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    Cited by:

    1. Ryszard Tomaszewski & Jerzy Dajka, 2021. "Statistical image analysis and escort histograms in characterization of articular cartilage repair in a skeleton animal model," PLOS ONE, Public Library of Science, vol. 16(6), pages 1-15, June.
    2. Ghosh, Abhik, 2023. "Optimal guessing under nonextensive framework and associated moment bounds," Statistics & Probability Letters, Elsevier, vol. 197(C).
    3. Campos, Diógenes, 2011. "A thermodynamic-like approach for the study of probabilistic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 214-222.
    4. Campos, Diógenes, 2010. "Real and spurious contributions for the Shannon, Rényi and Tsallis entropies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3761-3768.

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