Assouad Dimension of Random Processes

DOI10.1017/S0013091518000433zbMath1431.28011arXiv1707.02507OpenAlexW2963314946MaRDI QIDQ5228216

Han Yu, Douglas C. Howroyd

Publication date: 9 August 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02507

zbMATH Keywords

fractional Brownian motionBrownian motionHausdorff dimensionscalingLévy processrandom fractalAssouad dimension

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Brownian motion (60J65) Stochastic integrals (60H05) Fractals (28A80)

Related Items (2)

Weak tangent and level sets of Takagi functions ⋮ Almost sure Assouad-like dimensions of complementary sets

Cites Work

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• Hausdorff dimension and Gaussian fields
• Accessible values for the Assouad and lower dimensions of subsets
• Assouad type dimensions and homogeneity of fractals
• How Porous is the Graph of Brownian Motion?
• From fractional Brownian motion to multifractional and multistable motion
• Arithmetic patches, weak tangents, and dimension
• Fractional Brownian Motions, Fractional Noises and Applications
• Probability

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