Uniform modulus of continuity of random fields

DOI10.1007/s00605-009-0133-zzbMath1181.60074arXiv0907.2291OpenAlexW2056614140MaRDI QIDQ2655192

Yimin Xiao

Publication date: 22 January 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2291

zbMATH Keywords

heavy-tailed distributionstable random fieldsuniform modulus of continuity of a random field

Mathematics Subject Classification ID

Random fields (60G60) Sample path properties (60G17) Self-similar stochastic processes (60G18) Stable stochastic processes (60G52)

Related Items

Wavelet series representation and geometric properties of harmonizable fractional stable sheets ⋮ Harmonizable fractional stable fields: local nondeterminism and joint continuity of the local times ⋮ Hausdorff and packing dimensions of the images of random fields ⋮ Local Hölder regularity for set-indexed processes ⋮ Multivariate operator-self-similar random fields ⋮ On the supremum of certain families of stochastic processes ⋮ Multi-operator scaling random fields ⋮ Maximal moments and uniform modulus of continuity for stable random fields ⋮ Strong laws of large numbers for arrays of random variables and stable random fields ⋮ Modulus of continuity of some conditionally sub-Gaussian fields, application to stable random fields ⋮ Exact moduli of continuity for operator-scaling Gaussian random fields

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