Dimension results for space-anisotropic Gaussian random fields

DOI10.1007/s10114-018-8016-7zbMath1411.60055OpenAlexW2896504507WikidataQ129062995 ScholiaQ129062995MaRDI QIDQ1734938

Wen Qing Ni, Wei Gang Wang, Zhen Long Chen

Publication date: 27 March 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-018-8016-7

zbMATH Keywords

Hausdorff dimensionpacking dimensionGaussian random fielduniform dimension

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Sample path properties (60G17)

Related Items (2)

On intersections of independent space-time anisotropic Gaussian fields ⋮ Packing dimension of space-time anisotropic Gaussian random fields

Cites Work

• Sectorial local non-determinism and the geometry of the Brownian sheet
• Uniform dimension results for the Brownian sheet
• Uniform dimension results for Gaussian random fields
• Packing dimension of the image of fractional Brownian motion
• Dimension results for Gaussian vector fields and index-\(\alpha\) stable fields
• Packing dimensions of projections and dimension profiles
• Recent Developments on Fractal Properties of Gaussian Random Fields
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