On an upper bound of the Euler characteristic of the Wiener sausage

DOI10.1007/s11009-013-9361-8zbMath1352.60014OpenAlexW2025190254MaRDI QIDQ479139

Ondřej Honzl

Publication date: 5 December 2014

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-013-9361-8

zbMATH Keywords

Euler-Poincaré characteristicWiener sausage

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Brownian motion (60J65)

Related Items (1)

How round are the complementary components of planar Brownian motion?

Cites Work

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• Approximations of the Wiener sausage and its curvature measures
• Tubular neighborhoods in Euclidean spaces
• Fluctuation results for the Wiener sausage
• Almost sure asymptotic behaviour of the r-neighbourhood surface area of Brownian paths
• On the expected surface area of the Wiener sausage
• On the asymptotic number of small components created by planar brownian motion
• Electrostatic capacity, heat flow, and brownian motion
• Moderate deviations for the volume of the Wiener sausage

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