平面曲线上曼德尔布罗特 Cascades的傅里叶尺寸
Fourier dimension of Mandelbrot Cascades on planar curves
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Donggeun Ryou | Ville Suomala
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2026
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-
📝 摘要
Abstract
We consider multifractal Mandelbrot cascades supported on planar $C^2$ curves with nonvanishing curvature and show that their Fourier dimension is as large as possible, i.e., equal to the infimum of the lower pointwise dimension of the measure.
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