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A white noise approach to stochastic currents of Brownian motion

机译:A white noise approach to stochastic currents of Brownian motion

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摘要

In this paper, we study stochastic currents of Brownian motion xi(x), x is an element of Rd, by using white noise analysis. For x is an element of Double-struck capital Rd set minus {0} and for x = 0 is an element of Double-struck capital R we prove that the stochastic current xi(x) is a Hida distribution. Moreover for x = 0 is an element of Double-struck capital Rd with d > 1 we show that the stochastic current is not a Hida distribution.

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