Geometric differentiability of Riemann's non-differentiable function

DOI10.1016/j.aim.2020.107091zbMath1437.26005arXiv1910.02536OpenAlexW3010383602MaRDI QIDQ2309123

Daniel Eceizabarrena

Publication date: 27 March 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02536

zbMATH Keywords

fractaltangent vectorvortex filamentRiemann's non-differentiable function

Mathematics Subject Classification ID

Fractals (28A80) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items

Riemann's non-differentiable function and the binormal curvature flow, 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, On the Hausdorff dimension of Riemann’s non-differentiable function, Some geometric properties of Riemann's non-differentiable function, Unnamed Item, Vortex filament equation for a regular polygon in the hyperbolic plane, On the Schrödinger map for regular helical polygons in the hyperbolic space, Convergence over fractals for the periodic Schrödinger equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differentiability and dimension of some fractal Fourier series
• The spectrum of singularities of Riemann's function
• Some geometric properties of Riemann's non-differentiable function
• Vortex filament equation for a regular polygon
• On the Hausdorff dimension of Riemann’s non-differentiable function
• 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
• Wavelet methods for pointwise regularity and local oscillations of functions