Local asymptotic laws for the Brownian convex hull

DOI10.1007/BF01193057zbMath0767.60066OpenAlexW2041889483MaRDI QIDQ1203920

Davar Khoshnevisan

Publication date: 10 March 1993

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193057

zbMATH Keywords

random walkslaw of the iterated logarithmconvex hull of Brownian motion

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Markov processes (60J99)

Related Items (1)

Large deviations of convex hulls of planar random walks and Brownian motions

Cites Work

• Le caractère universel de la courbe du mouvement brownien et la loi du logarithme itéré
• Curvature of the convex hull of planar Brownian motion near its minimum point
• On the Brownian curve and its circumscribing sphere
• Smoothness of the convex hull of planar Brownian motion
• Moment inequalities for functionals of the Brownian convex hull
• On the Hausdorff dimension of Brownian cone points
• First Passage times and Sojourn Times for Brownian Motion in Space and the Exact Hausdorff Measure of the Sample Path
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