On mean curvature functions of Brownian paths

DOI10.1016/j.spa.2006.05.003zbMath1107.60049OpenAlexW4206079069MaRDI QIDQ860704

Günter Last

Publication date: 9 January 2007

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2006.05.003

zbMATH Keywords

Brownian motionWiener sausagesupport measure

Mathematics Subject Classification ID

Gaussian processes (60G15) Brownian motion (60J65) Length, area, volume, other geometric measure theory (28A75) Random measures (60G57)

Related Items (6)

Optimal bandwidth of the ``Minkowski content-based estimator of the mean density of random closed sets: theoretical results and numerical experiments ⋮ On the Boolean model of Wiener sausages ⋮ Approximations of the Wiener sausage and its curvature measures ⋮ On the expected surface area of the Wiener sausage ⋮ Fine properties of the curvature of arbitrary closed sets ⋮ Surface area of the domain visited by a spherical Brownian particle

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• Hessian measures of semi-convex functions and applications to support measures of convex bodies
• On the expected surface area of the Wiener sausage
• When ε-boundaries are manifolds
• Electrostatic capacity, heat flow, and brownian motion

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