Quantization Dimension for Random Self-conformal Measures with Respect to the Geometric Error

نویسندگان

  • Honglin Sun
  • Meifeng Dai
چکیده

In this paper, we study the quantization dimension for a random self-conformal measure μ supported on the random self-conformal set E. We establish that the quantization dimension of μ coincides with its Hausdorff dimension with probability one under the strong separation condition.

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تاریخ انتشار 2012