The trace of spatial Brownian motion is capacity-equivalent to the unit square

DOI10.1007/s004400050070zbMath0864.60065arXivmath/0404088OpenAlexW2057087439MaRDI QIDQ1816411

Yuval Peres, Robin Pemantle, Jonathan W. Shapiro

Publication date: 3 June 1997

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

Full work available at URL: https://arxiv.org/abs/math/0404088

zbMATH Keywords

occupation measurecapacity estimatesself-intersections of the Brownian path

Mathematics Subject Classification ID

Brownian motion (60J65) Probabilistic potential theory (60J45)

Related Items (10)

Continuum-sites stepping-stone models, coalescing exchangeable partitions and random trees ⋮ Level sets of additive Lévy processes ⋮ Thick points for spatial Brownian motion: multifractal analysis of occupation measure. ⋮ Capacitary moduli for Lévy processes and intersections. ⋮ Harmonic analysis of additive Lévy processes ⋮ Capacity of the range of random walk on \(\mathbb{Z}^{4}\) ⋮ Intersections of Brownian motions ⋮ Strong law of large numbers for the capacity of the Wiener sausage in dimension four ⋮ Unnamed Item ⋮ Hitting estimates on Einstein manifolds and applications

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