Almost sure asymptotic behaviour of the r-neighbourhood surface area of Brownian paths

DOI10.1007/s10587-012-0017-6zbMath1249.28003OpenAlexW2159064535MaRDI QIDQ2897345

Jan Rataj, Ondřej Honzl

Publication date: 10 July 2012

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/246887

zbMATH Keywords

Brownian motionWiener sausageMinkowski contentKneser function

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Length, area, volume, other geometric measure theory (28A75) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

Scaling exponents of curvature measures ⋮ Localization results for Minkowski contents ⋮ On an upper bound of the Euler characteristic of the Wiener sausage ⋮ Estimation of fractal dimension and fractal curvatures from digital images

Cites Work

• Fluctuation results for the Wiener sausage
• On volume and surface area of parallel sets
• On the expected surface area of the Wiener sausage
• Electrostatic capacity, heat flow, and brownian motion
• Über den Rand von Parallelkörpern
• Unnamed Item

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