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Characterization of violent fluctuations by interval distributions of level sets

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  • Takayasu, Misako

Abstract

Different types of interval distributions of level sets are observed in systems having violent fluctuations: time series of earthquake magnitudes, spatial mass fluctuations of an aggregating system, and time series of energy dissipation rates in atmospheric turbulence. For turbulence, a new scaling relation is found and the interval distribution agrees with a theoretical estimate for binomial multifractal measure. Also, the aggregation system is shown to have a scaling property.

Suggested Citation

  • Takayasu, Misako, 1993. "Characterization of violent fluctuations by interval distributions of level sets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 197(3), pages 371-378.
    • Handle: RePEc:eee:phsmap:v:197:y:1993:i:3:p:371-378
    DOI: 10.1016/0378-4371(93)90591-Q
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    Cited by:

    1. Freund, Jan & Pöschel, Thorsten, 1995. "A statistical approach to vehicular traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 219(1), pages 95-113.

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