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Rate of convergence of uniform transport processes to Brownian sheet

Published 4 Sep 2019 in math.PR | (1909.01981v1)

Abstract: In a previous paper we have constructed 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 in the unit square. Now, a rate of convergence from these processes to Brownian sheet is given.

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