Asymptotic Properties and Hausdorff Dimensions of Fractional Brownian Sheets
نویسندگان
چکیده
Let BH = {BH (t), t ∈ RN } be an (N, d)-fractional Brownian sheet with index H = (H1, . . . , HN ) ∈ (0, 1)N . The uniform and local asymptotic properties of BH are proved by using wavelet methods. The Hausdorff and packing dimensions of the range BH ([0, 1]N), the graph GrBH ([0, 1]N) and the level set are determined.
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تاریخ انتشار 2004