Brownian Sheet and Capacity
نویسندگان
چکیده
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 quasi–sure properties in Wiener space.
منابع مشابه
The Annals of Probability
(To appear) Brownian Sheet and Capacity By Davar Khoshnevisan* and Zhan Shi University of Utah & Universit e Paris VI Summary. 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...
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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 quasi{sure properties in Wiener space.
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