Abstract
We start in this chapter the study of the dimension of hyperbolic invariant sets of conformal dynamical systems (both invertible and noninvertible). As we observed in Section 3.1, one of the motivations for the study of geometric constructions is precisely the study of the dimension of invariant sets of hyperbolic dynamics. We show in this chapter that indeed a similar approach can be effected for repellers and hyperbolic sets of conformal maps, using Markov partitions and essentially following the arguments for geometric constructions in Chapter 3.
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© 2008 Birkhäuser Verlag AG
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(2008). Repellers and Hyperbolic Sets. In: Dimension and Recurrence in Hyperbolic Dynamics. Progress in Mathematics, vol 272. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8882-9_4
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DOI: https://doi.org/10.1007/978-3-7643-8882-9_4
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8881-2
Online ISBN: 978-3-7643-8882-9
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