The Hausdorff measure of the range and level sets of Gaussian random fields with sectorial local nondeterminism

DOI10.3150/21-BEJ1342zbMath1502.60042arXiv2012.03524OpenAlexW3212043624MaRDI QIDQ2073214

Cheuk-Yin Lee

Publication date: 1 February 2022

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.03524

zbMATH Keywords

Brownian sheetHausdorff measureGaussian random fieldslocal nondeterminismharmonizable representation

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Sample path properties (60G17)

Related Items (3)

Local nondeterminism and local times of the stochastic wave equation driven by fractional-colored noise ⋮ The Hausdorff measure of the range and level sets of Gaussian random fields with sectorial local nondeterminism ⋮ Chung-type law of the iterated logarithm and exact moduli of continuity for a class of anisotropic Gaussian random fields

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