EXPLICIT CONSTRUCTION OF OPERATOR SCALING GAUSSIAN RANDOM FIELDS

DOI10.1142/S0218348X11005208zbMath1233.60027arXiv1104.0774MaRDI QIDQ3011240

Béatrice Vedel, Marianne Clausel

Publication date: 28 June 2011

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0774

zbMATH Keywords

anisotropystationary incrementspseudo-normharmonizable representationoperator scaling Gaussian random field

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15)

Related Items

Parameter estimation for operator scaling random fields, Domain and range symmetries of operator fractional Brownian fields, Statistical tests of heterogeneity for anisotropic multifractional Brownian fields, Linear SPDEs driven by stationary random distributions, Criteria of pointwise and uniform directional Lipschitz regularities on tensor products of Schauder functions, On integral representations of operator fractional Brownian fields, Aggregation of autoregressive random fields and anisotropic long-range dependence, Exponents of operator self-similar random fields, Wavelet eigenvalue regression for \(n\)-variate operator fractional Brownian motion, Directional multifractal analysis in the \(L^p\) setting, Multifractal analysis of rectangular pointwise regularity with hyperbolic wavelet bases, Two-step wavelet-based estimation for Gaussian mixed fractional processes, Anisotropy of Hölder Gaussian random fields: characterization, estimation, and application to image textures, Baire generic results for the anisotropic multifractal formalism

Cites Work

• Operator scaling stable random fields
• Identifying the anisotropical function of a \(d\)-dimensional Gaussian self-similar process with stationary increments
• Gaussian and their subordinates self-similar random generalized fields
• Anisotropic analysis of some Gaussian models
• Fractional Brownian sheet
• Fractal Analysis of Surface Roughness by Using Spatial Data