The Hausdorff dimension of the double points on the Brownian frontier

DOI10.1007/s10959-009-0262-2zbMath1195.60110arXiv0808.0425OpenAlexW2027428090MaRDI QIDQ975334

Richard Kiefer, Peter Mörters

Publication date: 9 June 2010

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.0425

zbMATH Keywords

frontierBrownian motionHausdorff dimensiondisconnection exponentouter boundaryself-intersectionsdouble pointsMandelbrot conjecture

Mathematics Subject Classification ID

Brownian motion (60J65) Sample path properties (60G17)

Related Items (1)

Generalized disconnection exponents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Curvature of the convex hull of planar Brownian motion near its minimum point
• The exact packing measure of Brownian double points
• The dimension of the frontier of planar Brownian motion
• No triple point of planar Brownian motion is accessible
• The multifractal spectrum of Brownian intersection local times
• Brownian Motion
• The dimension of the planar Brownian frontier is \(4/3\)
• The dimension of the Brownian frontier is greater than 1

This page was built for publication: The Hausdorff dimension of the double points on the Brownian frontier