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On the existence of self-intersections for quasi-every Brownian path in space

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Publication:751060
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DOI10.1214/aop/1176991411zbMath0714.60067OpenAlexW1987273957MaRDI QIDQ751060

Mathew D. Penrose

Publication date: 1989

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176991411

zbMATH Keywords

Brownian motionHausdorff dimensionself-intersectionself- intersection local time


Mathematics Subject Classification ID

Brownian motion (60J65) Sample path properties (60G17) Local time and additive functionals (60J55)


Related Items

Chaos expansions of double intersection local time of Brownian motion in \(\mathbb{R}^ d\) and renormalization, Leaves on the line and in the plane, Quasi-everywhere properties of Brownian level sets and multiple points, THE RENORMALIZATION OF SELF-INTERSECTION LOCAL TIMES I: THE CHAOS EXPANSION, RENORMALISATION DU TEMPS LOCAL DES POINTS TRIPLES DU MOUVEMENT BROWNIEN, Sets avoided by Brownian motion



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