On the Fourier analytic structure of the Brownian graph

DOI10.2140/apde.2018.11.115zbMath1388.60114arXiv1506.03773OpenAlexW3103893286MaRDI QIDQ2409088

Tuomas Sahlsten, Jonathan M. Fraser

Publication date: 10 October 2017

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.03773

zbMATH Keywords

Fourier transformgraphWiener processBrownian motionFourier dimensionItô calculusSalem setItô drift-diffusion process

Mathematics Subject Classification ID

Brownian motion (60J65) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items

Trigonometric series and self-similar sets ⋮ A normal number theorem for Brownian motion ⋮ Lacunary maximal functions on homogeneous groups ⋮ Fourier transform of self-affine measures ⋮ Hausdorff and Fourier dimension of graph of continuous additive processes

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