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《Journal of Wuhan University(Natural Science Edition)》 1990-04
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HAUSDORFF DIMENSION OF THE IMAGE, GRAPH AND LEVEL SETS OF GAUSSIAN RANDOM FIELD

Xiao Yimin (Department of Mathematics,Wuhan University)  
In this papaer sample path properties of (N, d) Gaussian random field X(t) = (X_1(t), …, X_d(t))are studed, where X_1,…, X_d may not be independent and the index of X_i is a_i. The Hausdorff dimensions of the image X(E),graph GrX|_E and level sets X~(-1)(u)∩E for any compact set E in R~N are obtained. These results are extensions to the results of Adler, Cuzick and Kahane.
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【Co-citations】
Chinese Journal Full-text Database 2 Hits
1 WANG Min,YANG Xin-jian (College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China);Uniform Dimensions for the Graph Sets of the Fractional Brownian Motions[J];Journal of Natural Science of Hunan Normal University;2006-02
2 Xiao Yimin (Wuhan University);FRACTIONAL BROWNIAN MATION AND HAUSDORFF DIMENSION[J];Journal of Mathematics;1991-02
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