Nondifferentiability of curves on the Brownian sheet

DOI10.1214/aop/1042644712zbMath0861.60058OpenAlexW2048639715MaRDI QIDQ1922072

Robert C. Dalang, Thomas S. Mountford

Publication date: 22 April 1997

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1042644712

zbMATH Keywords

Brownian sheetlevel setsnondifferentiability

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15)

Related Items (6)

Level sets of additive Lévy processes ⋮ Eccentric behaviors of the Brownian sheet along lines ⋮ Corner percolation on \(\mathbb Z^{2}\) and the square root of 17 ⋮ Level crossings of a two-parameter random walk ⋮ Local time of additive Levy process ⋮ Hausdorff dimension of the boundary of bubbles of additive Brownian motion and of the Brownian sheet

Cites Work

• The uniform dimension of the level sets of a Brownian sheet
• The structure of a Brownian bubble
• Geography of the level sets of the Brownian sheet
• Points of increase of the Brownian sheet
• Notes on random functions
• Contours of Brownian processes with several-dimensional times
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