Moduli of continuity of a class of \(N\)-parameter Gaussian processes and their fast points

DOI10.1007/s10114-007-5533-1zbMath1146.60033OpenAlexW2075164633MaRDI QIDQ943529

Zong-Mao Cheng, Zheng Yan Lin

Publication date: 9 September 2008

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

Full work available at URL: https://doi.org/10.1007/s10114-007-5533-1

zbMATH Keywords

modulus of continuitypacking dimension\(N\)-parameter Gaussian processlimsup random fractal

Mathematics Subject Classification ID

Gaussian processes (60G15) Strong limit theorems (60F15) Sample path properties (60G17)

Cites Work

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• Self-intersections of random fields
• Some limit theorems for fractional Lévy Brownian fields
• Sample functions of the \(N\)-parameter Wiener process
• Hausdorff measure of trajectories of multiparameter fractional Brownian motion
• Limsup random fractals
• Multiparameter Fractional Brownian Motion And Quasi-Linear Stochastic Partial Differential Equations
• The measure theory of random fractals
• Sample function properties of multi-parameter stable processes
• Regularly varying functions
• Small deviations for some multi-parameter Gaussian processes