Oscillatory integrals and fractal dimension

DOI10.1016/j.bulsci.2021.102972zbMath1462.32035arXiv1609.00976OpenAlexW3138301425WikidataQ114202572 ScholiaQ114202572MaRDI QIDQ2662358

Vesna Županović, Jean-Philippe Rolin, Domagoj Vlah

Publication date: 13 April 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00976

zbMATH Keywords

critical pointsbox dimensionNewton diagramMinkowski contentoscillatory integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Length, area, volume, other geometric measure theory (28A75)

Related Items (1)

Fractal analysis of degenerate spiral trajectories of a class of ordinary differential equations

Cites Work

• \(\varepsilon\)-neighborhoods of orbits and formal classification of parabolic diffeomorphisms
• Multiplicity of fixed points and growth of \(\varepsilon \)-neighborhoods of orbits
• Fractal oscillations of self-adjoint and damped linear differential equations of second-order
• The asymptotic behavior of degenerate oscillatory integrals in two dimensions
• Topological equivalence of planar vector fields and their generalised principal part
• Fractal analysis of spiral trajectories of some planar vector fields
• Poincaré map in fractal analysis of spiral trajectories of planar vector fields
• Asymptotic Approximations of Integrals
• Wavy spirals and their fractal connection with chirps
• BOX DIMENSION AND MINKOWSKI CONTENT OF THE CLOTHOID
• Fractal Geometry, Complex Dimensions and Zeta Functions
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