Strong law of large numbers for the capacity of the Wiener sausage in dimension four

DOI10.1007/s00440-018-0842-0zbMath1411.60036arXiv1611.04576OpenAlexW2553163255WikidataQ114229369 ScholiaQ114229369MaRDI QIDQ1740588

Amine Asselah, Perla Sousi, Bruno Schapira

Publication date: 30 April 2019

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

Full work available at URL: https://arxiv.org/abs/1611.04576

zbMATH Keywords

capacitylaw of large numbersWiener sausage

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Related Items (4)

Statistical properties of sites visited by independent random walks ⋮ Capacity of the range of random walk on \(\mathbb{Z}^{4}\) ⋮ Logarithmic corrections to scaling in the four-dimensional uniform spanning tree ⋮ Deviations for the capacity of the range of a random walk

Cites Work

• The intersection of Brownian paths as a case study of a renormalization group method for quantum field theory
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• Sur la saucisse de Wiener et les points multiples du mouvement Brownien. (On the Wiener sausage and the multiple points of Brownian motion)
• Fluctuation results for the Wiener sausage
• The probability of intersection of independent random walks in four dimensions
• Intersections of Brownian motions
• Torsional rigidity for regions with a Brownian boundary
• Intersections of random walks and Wiener sausages in four dimensions
• The trace of spatial Brownian motion is capacity-equivalent to the unit square
• Intersection-equivalence of Brownian paths and certain branching processes
• Some intersection properties of random walk paths
• Concentration Inequalities and Martingale Inequalities: A Survey
• Some asymptotic formulas involving capacity
• Capacity of the range of random walk on $\mathbb {Z}^d$
• Asymptotics of the critical time in Wiener sausage percolation with a small radius
• Brownian Motion
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