On the Hausdorff dimension of Riemann’s non-differentiable function

DOI10.1090/tran/8489zbMath1481.26003arXiv1910.02530OpenAlexW3172646004MaRDI QIDQ5158095

Daniel Eceizabarrena

Publication date: 21 October 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02530

zbMATH Keywords

Hausdorff dimensionGaussian sumRiemann's non-differentiable functionbinomial flow

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Fractals (28A80) Hausdorff and packing measures (28A78) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

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An Analytical Study of Flatness and Intermittency through Riemann's Nondifferentiable Functions ⋮ The pointwise behavior of Riemann's function ⋮ Intermittency of Riemann’s non-differentiable function through the fourth-order flatness ⋮ Some geometric properties of Riemann's non-differentiable function ⋮ Geometric differentiability of Riemann's non-differentiable function ⋮ Convergence over fractals for the periodic Schrödinger equation

Cites Work

• On Riemann ``nondifferentiable function and Schrödinger equation
• Differentiability and dimension of some fractal Fourier series
• The vortex filament equation and a semilinear Schrödinger equation in a Hermitian symmetric space
• Hausdorff dimension of the graphs of the classical Weierstrass functions
• The spectrum of singularities of Riemann's function
• Geometric differentiability of Riemann's non-differentiable function
• Vortex filament equation for a regular polygon
• The Lyapunov dimension of a nowhere differentiable attracting torus
• Classical Fourier Analysis
• The Hausdorff dimension of graphs of Weierstrass functions
• Integer, fractional and fractal Talbot effects
• Intermittency of Riemann’s non-differentiable function through the fourth-order flatness
• On the Moduli of a Quantized Elastica in ℙ and KdV Flows: Study of Hyperelliptic Curves as an Extension of Euler's Perspective of Elastica I
• The Differentiability of the Riemann Function at Certain Rational Multiples of &#960
• More on the Differentiability of the Riemann Function
• A soliton on a vortex filament
• The Differentiability of Riemann's Function
• Wavelet methods for pointwise regularity and local oscillations of functions
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