Brownian motion with variable drift can be space filling

DOI10.1090/S0002-9939-2011-10737-8zbMath1229.60095arXiv1003.0228MaRDI QIDQ3092861

Tonci Antunovic, Yuval Peres, Brigitta Vermesi

Publication date: 11 October 2011

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

Full work available at URL: https://arxiv.org/abs/1003.0228

zbMATH Keywords

Brownian motionspace-filling curvepolar function

Mathematics Subject Classification ID

Brownian motion (60J65) Lipschitz (Hölder) classes (26A16)

Related Items (1)

Images of fractional Brownian motion with deterministic drift: Positive Lebesgue measure and non-empty interior

Cites Work

• Path properties of a class of locally asymptotically self similar processes
• Space-filling curves
• Convergence with Hilbert's space filling curve
• On the Hausdorff dimension of some fractal sets
• “Polar”-functions for Brownian motion
• Stochastic Calculus for Fractional Brownian Motion and Applications
• On the Hausdorff dimension of the intersection of the range of a stable process with a Borel set
• Alternative Algorithm for Hilbert's Space-Filling Curve
• Brownian Motion
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