Nagoya Mathematical Journal

The Hausdorff dimension of general Sierpiński carpets

Curt McMullen
Source: Nagoya Math. J. Volume 96 (1984), 1-9.
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Primary Subjects: 11K55
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.nmj/1118787639
Mathematical Reviews number (MathSciNet): MR0771063
Zentralblatt MATH identifier: 0539.28003

References

[1] A. F. Beardon, On the Hausdorff dimension of general Cantor sets, Proc. Camb. Phil. Soc, 61 (1965), 679-694.
Mathematical Reviews (MathSciNet): MR31:1347
Zentralblatt MATH: 0145.05502
Digital Object Identifier: doi:10.1017/S0305004100039049
[2] H. Hironaka, Hironaka Heisuke no Suugaku Kyositsu, Tokyo 1980.
[3] Michael Loeve, Probability Theory, New York 1963.
[4] Benoit B. Mandelbrot, Fractals, San Francisco, 1977.
[5] K. R. Parthasarathy, Probability Measures on Metric Spaces, New York, 1967.
Mathematical Reviews (MathSciNet): MR37:2271
Zentralblatt MATH: 0153.19101
[6] W. Sierpiski, Sur une courbe cantorienne qui contient une image biunivoque et continue de toute courbe donne, Comptes Rendus, 162 (1916), 629-642.
[7] H. Wegmann, Die HausdorfF-Dimension von kartesischen Produkten metrischer Raume, J. reine angew. Math., 246 (1971), 46-75. Department of Mathematics Harvard University Cambridge Massachusetts 01238 USA
Mathematical Reviews (MathSciNet): MR42:8463
Zentralblatt MATH: 0208.51002

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