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Structural instability of cookie-cutter sets

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Publication:881625
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DOI10.1016/J.NA.2006.06.052zbMath1128.28011OpenAlexW1978101970MaRDI QIDQ881625

Li-Feng Xi

Publication date: 30 May 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.06.052


zbMATH Keywords

instabilityiterated function systemLipschitz equivalence


Mathematics Subject Classification ID

Fractals (28A80)





Cites Work

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  • On the shape of Cantor sets
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  • Relations among Whitney sets, self-similar arcs and quasi-arcs
  • Hausdorff Dimension in Graph Directed Constructions
  • Dimension and Dynamics for Fractal Recurrent Sets
  • On the Lipschitz equivalence of Cantor sets
  • Uniform perfectness of self-affine sets
  • LIPSCHITZ EQUIVALENCE OF SELF-CONFORMAL SETS
  • Classification of a quasi-circles by Hausdorff dimension




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