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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© 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
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