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• W3172646004 abstract "Recent findings show that the classical Riemann’s non-differentiable function has a physical and geometric nature as the irregular trajectory of a polygonal vortex filament driven by the binormal flow. In this article, we give an upper estimate of its Hausdorff dimension. We also adapt this result to the multifractal setting. To prove these results, we recalculate the asymptotic behavior of Riemann’s function around rationals from a novel perspective, underlining its connections with the Talbot effect and Gauss sums, with the hope that it is useful to give a lower bound of its dimension and to answer further geometric questions." @default.
• W3172646004 created "2021-06-22" @default.
• W3172646004 creator A5008631895 @default.
• W3172646004 date "2021-08-25" @default.
• W3172646004 modified "2023-10-16" @default.
• W3172646004 title "On the Hausdorff dimension of Riemann’s non-differentiable function" @default.
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• W3172646004 doi "https://doi.org/10.1090/tran/8489" @default.
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