Effect of noise and detector sensitivity on a dynamical process: Inverse power law and Mittag-Leffler interevent time survival probabilities

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Article on the effect of noise and detector sensitivity on a dynamical process and the inverse power law and Mittag-Leffler interevent time survival probabilities.

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8 p.

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Pramukkul, Pensri; Svenkeson, Adam & Grigolini, Paolo February 10, 2014.

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Article on the effect of noise and detector sensitivity on a dynamical process and the inverse power law and Mittag-Leffler interevent time survival probabilities.

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8 p.

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Abstract: We study the combined effects of noise and detector sensitivity on a dynamical process that generates intermittent events mimicking the behavior of complex systems. By varying the sensitivity level of the detector we move between two forms of complexity, from inverse power law to Mittag-Leffler interevent time survival probabilities. Here fluctuations fight against complexity, causing an exponential truncation to the survival probability. We show that fluctuations of relatively weak intensity have a strong effect on the generation of Mittag-Leffler complexity, providing a reason why stretched exponentials are frequently found in nature. Our results afford a more unified picture of complexity resting on the Mittag-Leffler function and encompassing the standard inverse power law definition.

Copyright 2014 American Physical Society. http://dx.doi.org/10.1103/PhysRevE.89.022107

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  • Physical Review E, 2014, College Park: American Physical Society

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  • Publication Title: Physical Review E
  • Volume: 89
  • Pages: 8
  • Peer Reviewed: Yes

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  • February 10, 2014

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  • Oct. 23, 2014, 12:02 p.m.

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Pramukkul, Pensri; Svenkeson, Adam & Grigolini, Paolo. Effect of noise and detector sensitivity on a dynamical process: Inverse power law and Mittag-Leffler interevent time survival probabilities, article, February 10, 2014; [College Park, Maryland]. (digital.library.unt.edu/ark:/67531/metadc406340/: accessed November 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.