Local properties of a multifractional stable field

DOI10.1090/S0094-9000-2013-00882-5zbMath1285.60045OpenAlexW2048682802MaRDI QIDQ2849286

Georgiy M. Shevchenko

Publication date: 17 September 2013

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0094-9000-2013-00882-5

zbMATH Keywords

local timestable processlocal nondeterminismharmonizable processmultifractionality

Mathematics Subject Classification ID

Random fields (60G60) Fractional processes, including fractional Brownian motion (60G22) Sample path properties (60G17)

Related Items (3)

Wave equation with a coloured stable noise ⋮ Wave equation with a stable noise ⋮ Local times of linear multifractional stable sheets

Cites Work

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• Real harmonizable multifractional stable process and its local properties
• Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes
• Occupation densities
• Elliptic Gaussian random processes
• The generalized multifractional field: A nice tool for the study of the generalized multifractional Brownian motion
• Properties of local-nondeterminism of Gaussian and stable random fields and their applications
• Stochastic calculus for fractional Brownian motion and related processes.
• From \(N\) parameter fractional Brownian motions to \(N\) parameter multifractional Brownian motions
• On the local time of multifractional Brownian motion
• Sample path properties of fractional Riesz–Bessel field of variable order
• Path properties of multifractal Brownian motion

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