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Singularity spectrum : ウィキペディア英語版 | Singularity spectrum
The singularity spectrum is a function used in Multifractal analysis to describe the fractal dimension of a subset of points of a function belonging to a group of points that have the same Holder exponent. Intuitively, the singularity spectrum gives a value for how "fractal" a set of points are in a function. More formally, the singularity spectrum of a function, , is defined as: : Where is the function describing the Holder exponent, of at the point . is the Hausdorff dimension of a point set. ==See also==
* Multifractal analysis * Holder exponent * Hausdorff dimension * Fractal * Fractional Brownian motion
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Singularity spectrum」の詳細全文を読む
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