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Fractional Brownian stochastic current. (Chinese. English summary) Zbl 1413.60033

Summary: In this article, fractional Brownian stochastic current is studied, and the definition of fractional Brownian stochastic current is given in the sense of Wick integral. Through white noise approach, we prove that the current is a Hida distribution, which generalizes some results of Brownian stochastic current.

MSC:

60G22 Fractional processes, including fractional Brownian motion
60G57 Random measures
60H40 White noise theory
Full Text: DOI