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Fractal Records in Time

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Fractals

Part of the book series: Physics of Solids and Liquids ((PSLI))

Abstract

Many observations of nature consist of records in time or a series of observations. For example, extensive records exist for temperature. These records clearly exhibit yearly variations. Long records of temperature show erratic behavior on both a short- and a long-term time scale. The records in time of such phenomena as temperature, the discharge of rivers, rainfall and thickness of tree rings can be analyzed in terms of Hurst’s rescaled range analysis. The records are characterized by an exponent H — the Hurst exponent. The trace of the record is a curve with a fractal dimension D = 2 − H, under conditions we will discuss in more detail in chapter 10.

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© 1988 Springer Science+Business Media New York

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Feder, J. (1988). Fractal Records in Time. In: Fractals. Physics of Solids and Liquids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2124-6_8

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  • DOI: https://doi.org/10.1007/978-1-4899-2124-6_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-2126-0

  • Online ISBN: 978-1-4899-2124-6

  • eBook Packages: Springer Book Archive

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