Shows the Fourier dimension of Mandelbrot cascades is maximal on certain curves, indicating significant mathematical properties.
We consider multifractal Mandelbrot cascades supported on planar C² 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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Ryou et al. (2026) studied this question.
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