Brownian Sheet and Capacity

Davar Khoshnevisan; Zhan Shi

doi:10.1214/aop/1022677442

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Home > Journals > Ann. Probab. > Volume 27 > Issue 3 > Article

July 1999 Brownian Sheet and Capacity

Davar Khoshnevisan, Zhan Shi

Ann. Probab. 27(3): 1135-1159 (July 1999). DOI: 10.1214/aop/1022677442

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Abstract

The main goal of this paper is to present an explicit capacity estimate for hitting probabilities of the Brownian sheet. As applications, we determine the escape rates of the Brownian sheet and also obtain a local intersection equivalence between the Brownian sheet and the additive Brownian motion. Other applications concern quasisure properties in Wiener space.