Mathematics > Probability
arXiv:2603.25615 (math)
[Submitted on 26 Mar 2026 (v1), last revised 6 Aug 2026 (this version, v2)]
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.
Submission history
From: Donggeun Ryou [view email]
[v1]
Thu, 26 Mar 2026 16:31:31 UTC (18 KB)
[v2]
Thu, 6 Aug 2026 17:49:51 UTC (18 KB)
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