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分式Brown运动的局部时:白噪声分析法(英文) 被引量:2

Local Time of Fractional Brownian Motion:White Noise Approach
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摘要 本文利用白噪声分析的方法,讨论了分式布朗运动的局部时,即将其看作一个Hida分布.进一步,给出分式布朗运动的局部时的混沌分解以及局部时平方可积性. In this paper,local time of fractional Brownian motion is discussed through white noise approach,which means to regard it as a Hida distribution. Furthermore, the chaos expansion of the local time for fractional Brownian motion is given and the local time is square integrable.
出处 《应用数学》 CSCD 北大核心 2011年第2期260-264,共5页 Mathematica Applicata
基金 Supported by the National Natural Science Foundation of China ( 11061032,30973586) the Young Fund of Northwest University for Nationalities (X2009-003)
关键词 分式布朗运动 局部时 Hida分布 白噪声分析法 Fractional Brownian motion Local time Hida distribution White noiseapproach
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