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2. Entropy

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1834)

Abstract

We define in this chapter the entropy dimension of a set. We also recall the definition of Hausdorff measures and we compare the entropy and the Hausdorff dimensions, showing that the first one is bigger than the second one.

Keywords

  • Usual Measure
  • Entropy Dimension
  • Transversality Theorem
  • Connected Tree
  • Open Disjoint Interval

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Correspondence to Yosef Yomdin .

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© 2004 Springer-Verlag

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Yomdin, Y., Comte, G. (2004). 2. Entropy. In: Tame Geometry with Application in Smooth Analysis. Lecture Notes in Mathematics, vol 1834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40960-1_2

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  • DOI: https://doi.org/10.1007/978-3-540-40960-1_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20612-5

  • Online ISBN: 978-3-540-40960-1

  • eBook Packages: Springer Book Archive