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• W2971863259 abstract "Many years ago, Griego, Heath and Ruiz-Moncayo proved that it is possible to define realizations of a sequence of uniform transform processes that converges almost surely to the standard Brownian motion, uniformly on the unit time interval. In this paper we extend their results to the multi parameter case. We begin constructing a family of processes, starting from a set of independent standard Poisson processes, that has realizations that converge almost surely to the Brownian sheet, uniformly on the unit square. At the end the extension to the $d$-parameter Wiener processes is presented." @default.
• W2971863259 created "2019-09-12" @default.
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• W2971863259 date "2019-09-03" @default.
• W2971863259 modified "2023-09-27" @default.
• W2971863259 title "Strong approximations of Brownian sheet by uniform transport processes" @default.
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• W2971863259 hasPublicationYear "2019" @default.
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