On Hölder solutions to the spiral winding problem

DOI10.1088/1361-6544/abe75ezbMath1468.28005arXiv1905.07563OpenAlexW3163019368MaRDI QIDQ4990897

Jonathan M. Fraser

Publication date: 1 June 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07563

zbMATH Keywords

box dimensionspiralAssouad dimensionHölder exponentsAssouad spectrumwinding problem

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Lipschitz (Hölder) classes (26A16) Dynamics induced by flows and semiflows (37C10) Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (5)

Intermediate dimensions of infinitely generated attractors ⋮ The fractal structure of elliptical polynomial spirals ⋮ Generalised intermediate dimensions ⋮ Quasiconformal distortion of the Assouad spectrum and classification of polynomial spirals ⋮ Dimensions of fractional Brownian images

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasi-Assouad dimension of fractals
• New dimension spectra: finer information on scaling and homogeneity
• Unwinding spirals I
• Box dimension of spiral trajectories of some vector fields in \(\mathbb R^3\)
• Dimensions des spirales
• Fractal dimensions and spectra of interfaces with application to turbulence
• On conformal welding homeomorphisms associated to Jordan curves
• The Assouad spectrum and the quasi-Assouad dimension: a tale of two spectra
• The Navier-Stokes-alpha model of fluid turbulence

This page was built for publication: On Hölder solutions to the spiral winding problem