Many years ago, Griego, Heath and Ruiz-Moncayo proved that it is possible to define realizations of a sequence of uniform transport 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.

中文翻译：

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通过均匀传输过程对布朗板的强近似

许多年前，Griego，Heath和Ruiz-Moncayo证明可以定义一系列均匀传输过程的实现，这些过程几乎可以肯定地收敛于单位时间间隔上的标准布朗运动。在本文中，我们将其结果扩展到多参数情况。我们从一组独立的标准Poisson过程开始构建一系列过程，这些过程的实现几乎可以肯定地收敛到单位面积上的布朗表。最后，介绍了对d参数维纳过程的扩展。