Joint continuity of the local times of linear fractional stable sheets

DOI10.1016/j.crma.2007.03.028zbMath1117.60042OpenAlexW2162926700MaRDI QIDQ886279

Yimin Xiao, Antoine Ayache, François Roueff

Publication date: 26 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.crma.2007.03.028

zbMATH Keywords

linear fractional stable motion\(\alpha\)-stablelinear fractional representationfractional Brownian sheets

Mathematics Subject Classification ID

Gaussian processes (60G15) Sample path properties (60G17)

Related Items (4)

Properties of Strong Local Nondeterminism and Local Times of Stable Random Fields ⋮ Local times of linear multifractional stable sheets ⋮ On moduli of continuity for local times of fractional stable processes ⋮ Linear multifractional stable sheets in the broad sense: existence and joint continuity of local times

Cites Work

• Joint continuity of the local times of fractional Brownian sheets
• Hölder continuity of sample paths of some self-similar stable processes
• Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets
• Local and asymptotic properties of linear fractional stable sheets
• Local nondeterminism and local times for stable processes
• Occupation densities
• Local times and related sample path properties of certain self-similar processes
• Anisotropic analysis of some Gaussian models
• Local times of fractional Brownian sheets
• Sample path properties of ergodic self-similar processes
• Sample function properties of multi-parameter stable processes
• Multiparameter Processes
• A self-similar process with nowhere bounded sample paths
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