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- W1599681290 abstract "We recall the definition of the ϵ-distortion complexity of a set defined in Bonanno et al. (Nonlinearity 24:459–479, 2011) and the results obtained in this chapter for Cantor sets of the interval defined by iterated function systems. We state an analogous definition for measures which may be more useful when dealing with dynamical systems. We prove a new lower bound in the case of Cantor sets of the interval defined by analytic iterated function systems. We also give an upper bound for the ϵ-distortion complexity of invariant sets of uniformly hyperbolic dynamical systems." @default.
- W1599681290 created "2016-06-24" @default.
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- W1599681290 date "2015-01-01" @default.
- W1599681290 modified "2023-09-24" @default.
- W1599681290 title "On the Complexity of Some Geometrical Objects" @default.
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- W1599681290 doi "https://doi.org/10.1007/978-3-319-09867-8_3" @default.
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