HAUSDORFF DIMENSION OF THE DOUBLE POINT SET OF THE WESTWATER PROCESS

Citation:

Zhou Xianyin(周先银).HAUSDORFF DIMENSION OF THE DOUBLE POINT SET OF THE WESTWATER PROCESS[J].Chinese Annals of Mathematics B,1992,13(1):86~94
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Authors:

Zhou Xianyin(周先银);
Abstract: Let X=${X_i}_{i\in [0,1]}$ be the Westwater process which is the coordinate process under 3-dimensional polymer measure v(g) constructed by J. Westwater. In this paper, the Hausdorff dimension problem for the double point set of X is investigated. As a result, it is proved that dim $D_2$=1, v(g)-a.e., where $D_2$=:{$x\in R^3$: X=$X_i$=x for some $s

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