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arXiv · 2603.25615

Fourier dimension of Mandelbrot cascades on planar curves

Donggeun Ryou·Ville Suomala
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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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Donggeun Ryou, Ville Suomala. 2026-03-26. Fourier dimension of Mandelbrot cascades on planar curves. https://doi.org/10.1007/s00440-026-01528-3

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