Hausdorff and Fourier dimension of graph of continuous additive processes

DOI10.1016/j.spa.2022.10.010OpenAlexW3185930773MaRDI QIDQ2105076

Dexter Dysthe, Chun-Kit Lai

Publication date: 8 December 2022

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.10321

zbMATH Keywords

Hausdorff dimensionFourier dimensionadditive processesBrownian motions

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Probabilistic measure theory (60A10) Fractals (28A80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fourier transforms of Gibbs measures for the Gauss map
• Multifractal analysis of Lévy fields
• Fourier dimension of random images
• The graph and range singularity spectra of \(b\)-adic independent cascade functions
• The zero set of fractional Brownian motion is a Salem set
• Multifractal formalism for self-similar measures with weak separation condition
• Dimension of fractional Brownian motion with variable drift
• On the Fourier dimension and a modification
• Hausdorff dimension and Gaussian fields
• Recent progress on Bernoulli convolutions
• The Fourier dimension is not finitely stable
• Fourier transform of self-affine measures
• On multifractal formalism for self-similar measures with overlaps
• Explicit Salem sets in \(\mathbb{R}^2\)
• Fourier dimension and spectral gaps for hyperbolic surfaces
• On the Fourier analytic structure of the Brownian graph
• Hausdorff dimension of the image of additive processes
• The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers
• On Weyl's criterion for uniform distribution
• Brownian Motion, Martingales, and Stochastic Calculus
• Fractals in Probability and Analysis
• On Fourier Analytic Properties of Graphs
• $$L^q$$ Dimensions of Self-similar Measures and Applications: A Survey
• Images of Gaussian random fields: Salem sets and interior points
• Differentiable Functions which do not Satisfy a Uniform Lipschitz Condition of any Order
• On the exponential Orlicz norms of stopped Brownian motion
• Fourier Analysis and Hausdorff Dimension
• Gaussian sample functions and the Hausdorff dimension of level crossings
• Brownian Motion

This page was built for publication: Hausdorff and Fourier dimension of graph of continuous additive processes