Images of Gaussian random fields: Salem sets and interior points

DOI10.4064/sm176-1-3zbMath1105.60023OpenAlexW2104107761MaRDI QIDQ3414807

Narn-Rueih Shieh, Yimin Xiao

Publication date: 10 January 2007

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm176-1-3

zbMATH Keywords

fractional Brownian motionHausdorff dimensionFourier dimensionlocal timesfractional Riesz-Bessel motion

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Sample path properties (60G17) Fractals (28A80)

Related Items (10)

Images of fractional Brownian motion with deterministic drift: Positive Lebesgue measure and non-empty interior ⋮ A normal number theorem for Brownian motion ⋮ On the Fourier analytic structure of the Brownian graph ⋮ Hausdorff measures of the image, graph and level set of bifractional Brownian motion ⋮ Sample Paths Properties of the Set-Indexed Fractional Brownian Motion ⋮ The zero set of fractional Brownian motion is a Salem set ⋮ Inverse local times of fractional Brownian motion ⋮ FRACTAL GEOMETRY OF LÉVY-BASED SPATIAL-TEMPORAL RANDOM FIELDS ⋮ Hausdorff and Fourier dimension of graph of continuous additive processes ⋮ Restricted Hausdorff content, Frostman's lemma and Choquet integrals

This page was built for publication: Images of Gaussian random fields: Salem sets and interior points