Local self-similarity and the Hausdorff dimension

DOI10.1016/S1631-073X(03)00015-3zbMath1023.60043OpenAlexW2082781924MaRDI QIDQ1871481

Serge Cohen, Jacques Istas, Albert Benassi

Publication date: 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00015-3

zbMATH Keywords

Hausdorff dimensionlocally self-similar stochastic process

Mathematics Subject Classification ID

Self-similar stochastic processes (60G18)

Related Items (13)

A Fourier formulation of the Frostman criterion for random graphs and its applications to wavelet series. ⋮ Hölder regularity for operator scaling stable random fields ⋮ Operator scaling stable random fields ⋮ Power-Law Noises over General Spatial Domains and on Nonstandard Meshes ⋮ Minimal model of diffusion with time changing Hurst exponent ⋮ Hausdorff and packing dimensions of the images of random fields ⋮ Langevin equation with two fractional orders ⋮ Local time and related sample paths of filtered white noises ⋮ On the reproducing kernel Hilbert spaces associated with the fractional and bi-fractional Brownian motions ⋮ On roughness indices for fractional fields ⋮ Local Detection Of Defects From Image Sequences ⋮ A packing dimension theorem for Gaussian random fields ⋮ Poisson random balls: self-similarity and X-ray images

Cites Work

• Unnamed Item
• Identifying the multifractional function of a Gaussian process
• Elliptic Gaussian random processes
• Identification and properties of real harmonizable fractional Lévy motions
• Identification of filtered white noises
• A Fourier formulation of the Frostman criterion for random graphs and its applications to wavelet series.

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