A normal number theorem for Brownian motion

DOI10.5802/mrr.7zbMath1501.37052OpenAlexW3196510320MaRDI QIDQ2147361

Narn-Rueih Shieh

Publication date: 20 June 2022

Published in: Mathematics Research Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/mrr.7

zbMATH Keywords

fractional Brownian motionBrownian motionnormal numberdynamical orbitequidistribution sequence

Mathematics Subject Classification ID

Gaussian processes (60G15) Brownian motion (60J65) Sample path properties (60G17) Generation, random and stochastic difference and differential equations (37H10) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Well-distributed sequences and other variations (11K36)

Cites Work

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• Equidistribution from fractal measures
• Uniform dimension results for fractional Brownian motion
• On the Fourier analytic structure of the Brownian graph
• On Weyl's criterion for uniform distribution
• Images of Gaussian random fields: Salem sets and interior points
• Brownian Motion

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