Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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BOUNDS OF CORRELATION DIMENSIONS FOR SNAPSHOT ATTRACTORS

  • Chang, Sung-Kag (Department of Mathematics, Yeungnam University) ;
  • Lee, Mi-Ryeong (Department of Mathematics, Kyung-pook National University) ;
  • Lee, Hung-Hwan (Department of Mathematics, Kyung-pook National University)
  • Published : 2004.05.01
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Abstract

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 ${\iota}\;{\geq}\;1$.

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References

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  1. THE CORRELATION DIMENSION OF GENERALIZED CANTOR-LIKE SETS vol.34, pp.2, 2012, https://doi.org/10.5831/HMJ.2012.34.2.219