On the Fourier structure of the zero set of fractional Brownian motion

DOI10.1016/j.spl.2012.10.015zbMath1267.60041OpenAlexW2067536103MaRDI QIDQ1950650

Safari Mukeru, Willem L. Fouché

Publication date: 13 May 2013

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2012.10.015

zbMATH Keywords

fractional Brownian motionHausdorff dimensionSalem setslocal times

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Brownian motion (60J65) 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 (5)

Mini-workshop: Differentiable ergodic theory, dimension theory and stable foliations. Abstracts from the mini-workshop held September 28 -- October 4, 2014. ⋮ On the Fourier analytic structure of the Brownian graph ⋮ On the Fourier dimension and a modification ⋮ The Fourier dimension of Brownian limsup fractals ⋮ The zero set of fractional Brownian motion is a Salem set

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