The dimensions of self-similar sets

Wenxia LI; Dongmei XIAO

doi:10.2969/jmsj/05040789

Wenxia LI, Dongmei XIAO

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JOURNAL FREE ACCESS

1998 Volume 50 Issue 4 Pages 789-799

DOI https://doi.org/10.2969/jmsj/05040789

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Published: 1998 Received: October 14, 1996 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Wenxia Li¹⁾, Dongmei XIAO¹⁾
Right : Wenxia LI¹⁾, Dongmei XIAO¹⁾

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) Bedfore, T., Dimension and dynamics of factal recurrent set. J. London Math. Soc., 33 (1986), 89- 100.
2) Dekking, F. M., Recurrent sets. Advances in Math., 44 (1982), 78-104.
3) Falconer, K., Fractal geometry-Mathematical foundation and applications. Chichester: John Wiley & Sopens Ltd., 1990.
4) Falconer, K., Dimensions and measures of quasi self-similar sets. Proc. Amer. Math. Soc., 106 (1989), 543-554.
5) Hutchinson, J. E., Fractals and self-similarity, Indiana Univ. Math. J., 30 (1981), 713-747.
6) Li, W. X., Separation properties for MW-fractals. to appear in Acta Mathematica Sinica, 41 (1998).
7) Li, W. X., Researches on a class of partially-self-similar sets. Chinese Ann. of Math., 15A (1994), 681- 688.
8) Li, W. X., Generalized recurrent set. Acta Math. Sinica. 39 (1996) 78-88.
9) Mauldin, R. D. & Williams, S. C., Hausdorff dimension in graph directed constructions. Trans. Amer. Math. Soc. 309 (1988) 811-829.
10) Schief, A., Separation properties for self-similar sets. Proc. Amer. Math. Soc. 122 (1994), 111-115.
11) Wen, Z. Y., Wu, L. M., Zhong, H. L., A note on recurrent sets. Chin. Ann. of Math. 15B (1994), 321-326.
12) Wu, M., The Hausdorff dimensions of several kinds of set. Doctoral dissertation, Wuhan University. China, 1993.

Right : [1] Bedfore, T., Dimension and dynamics of factal recurrent set. J. London Math. Soc., 33 (1986), 89-100.
[2] Dekking, F. M., Recurrent sets. Advances in Math., 44 (1982), 78-104.
[3] Falconer, K., Fractal geometry - Mathematical foundation and applications. Chichester: John Wiley & Sopens Ltd., 1990.
[4] Falconer, K., Dimensions and measures of quasi self-similar sets. Proc. Amer. Math. Soc., 106 (1989), 543-554.
[5] Hutchinson, J. E., Fractals and self-similarity, Indiana Univ. Math. J., 30 (1981), 713-747.
[6] Li, W. X., Separation properties for MW-fractals. to appear in Acta Mathematica Sinica, 41 (1998).
[7] Li, W. X., Researches on a class of partially-self-similar sets. Chinese Ann. of Math., 15A (1994), 681- 688.
[8] Li, W. X., Generalized recurrent set. Acta Math. Sinica. 39 (1996) 78-88.
[9] Mauldin, R. D. & Williams, S. C., Hausdorff dimension in graph directed constructions. Trans. Amer. Math. Soc. 309 (1988) 811-829.
[10] Schief, A., Separation properties for self-similar sets. Proc. Amer. Math. Soc. 122 (1994), 111-115.
[11] Wen, Z. Y., Wu, L. M., Zhong, H. L., A note on recurrent sets. Chin. Ann. of Math. 15B (1994), 321-326.
[12] Wu, M., The Hausdorff dimensions of several kinds of set. Doctoral dissertation, Wuhan University. China, 1993.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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