On the explosion of the local times along lines of Brownian sheet.

DOI10.1016/S0246-0203(03)00057-8zbMath1052.60041OpenAlexW4255441072MaRDI QIDQ1426652

Zhan Shi, Pál Révész, Davar Khoshnevisan

Publication date: 15 March 2004

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2004__40_1_1_0

zbMATH Keywords

Brownian sheetmaximal inequalitycapacity estimate in Wiener spacelocal times along linesuniform ratio ergodic theorem

Mathematics Subject Classification ID

Random fields (60G60) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Sample path properties (60G17) Local time and additive functionals (60J55) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (4)

Dissipation in parabolic SPDEs ⋮ Recurrent lines in two-parameter isotropic stable Lévy sheets ⋮ Level crossings of a two-parameter random walk ⋮ Hausdorff dimension of the boundary of bubbles of additive Brownian motion and of the Brownian sheet

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