• Title/Summary/Keyword: snapshot attractor

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BOUNDS OF CORRELATION DIMENSIONS FOR SNAPSHOT ATTRACTORS

  • Chang, Sung-Kag;Lee, Mi-Ryeong;Lee, Hung-Hwan
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.2
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    • pp.327-335
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    • 2004
  • In this paper, we reformulate a snapshot attractor([5]), ($K,\;\={\mu_{\iota}}$) generated by a random baker's map with a sequence of probability measures {\={\mu_{\iota}}} on K. We obtain bounds of the correlation dimensions of ($K,\;\={\mu_{\iota}}$) for all ${\iota}\;{\geq}\;1$.