L p -Norms and Fractal Dimensions of Continuous Function Graphs

Demichel, Yann

doi:10.1007/978-0-8176-4888-6_10

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Katz Fractal Dimension1

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2021

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“…In the literature, one can find various methods of fractal dimension estimation (e.g., [63][64][65]).…”

Section: Katz Fractal Dimensionmentioning

confidence: 99%

Katz Fractal Dimension of Geoelectric Field during Severe Geomagnetic Storms

Gil

Glavan

Wawrzaszek

et al. 2021

Entropy

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We are concerned with the time series resulting from the computed local horizontal geoelectric field, obtained with the aid of a 1-D layered Earth model based on local geomagnetic field measurements, for the full solar magnetic cycle of 1996–2019, covering the two consecutive solar activity cycles 23 and 24. To our best knowledge, for the first time, the roughness of severe geomagnetic storms is considered by using a monofractal time series analysis of the Earth electric field. We show that during severe geomagnetic storms the Katz fractal dimension of the geoelectric field grows rapidly.

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“…In the literature, one can find various methods of fractal dimension estimation (e.g., [63][64][65]).…”

Section: Katz Fractal Dimensionmentioning

confidence: 99%