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Effective Strong Dimension, Algorithmic Information, and Computational Complexity (2004)  (Make Corrections)  (1 citation)
Krishna B. Athreya, John M. Hitchcock, Jack H. Lutz, Elvira Mayordomo
Proceedings of the Twenty--First Symposium on Theoretical Aspects of Computer Science



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Abstract: The two most important notions of fractal dimension are Hausdorff dimension, developed by Hausdorff (1919), and packing dimension, developed independently by Tricot (1982) and Sullivan (1984). Both dimensions have the mathematical advantage of being defined from measures, and both have yielded extensive applications in fractal geometry and dynamical systems. Lutz (200) has recently proven... (Update)

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BibTeX entry:   (Update)

K. B. Athreya, J. M. Hitchcock, J. H. Lutz, and E. Mayordomo. Effective strong dimension in algorithmic information and computational complexity. In Proceedings of the Twenty--First Symposium on Theoretical Aspects of Computer Science, volume 2996 of Lecture Notes in Computer Science, pages 632--643. Springer-Verlag, 2004. http://citeseer.ist.psu.edu/athreya04effective.html   More

@inproceedings{ athreya04effective,
  author = "K. Athreya and J. Hitchcock and J. Lutz and E. Mayordomo",
  title = "Effective strong dimension in algorithmic information and computational
    complexity",
  booktitle = "Proceedings of the Twenty--First Symposium on Theoretical Aspects of
    Computer Science",
  volume = "2996",
  series = "Lecture Notes in Computer Science",
  pages = "632--643",
  publisher = "Springer-Verlag",
  year = "2004",
  url = "citeseer.ist.psu.edu/athreya04effective.html" }
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Documents on the same site (http://www.cs.iastate.edu/~jhitchco/bib/dim.html):   More
Small Spans in Scaled Dimension - Hitchcock (2004)   (Correct)
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Complexity and Randomness - Terwijn (2003)   (Correct)

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