Brownian sheet images and Bessel-Riesz capacity

DOI10.1090/S0002-9947-99-02408-3zbMath0930.60055arXivmath/9804061MaRDI QIDQ4243618

Davar Khoshnevisan

Publication date: 19 May 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9804061

zbMATH Keywords

capacityBrownian sheet

Mathematics Subject Classification ID

Brownian motion (60J65) Probabilistic potential theory (60J45) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (12)

Level sets of additive Lévy processes ⋮ Moderate deviations and laws of the iterated logarithm for the local times of additive Lévy processes and additive random walks ⋮ Brownian motion with variable drift: 0-1 laws, hitting probabilities and Hausdorff dimension ⋮ Large deviations and laws of the iterated logarithm for the local times of additive stable processes ⋮ Harmonic analysis of additive Lévy processes ⋮ Intersections of Brownian motions ⋮ Sample Paths Properties of the Set-Indexed Fractional Brownian Motion ⋮ Lévy processes: capacity and Hausdorff dimension ⋮ Self-intersection local times of additive processes: large deviation and law of the iterated logarithm ⋮ Large deviations for Riesz potentials of additive processes ⋮ Local times of additive Lévy processes. ⋮ Images of the Brownian sheet

Cites Work

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• Parabolic potential theory
• A characterization of parabolic potential theory
• Two-parameter martingales and their quadratic variation
• Brownian sheet and capacity
• Sample functions of the \(N\)-parameter Wiener process
• Martin capacity for Markov chains

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