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      On the statistical Analysis of Feigenbaum Constants

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      Author
      Sezgin, F.
      Sezgin, T. M.
      Date
      2006-11
      Source Title
      Journal of the Franklin Institute
      Print ISSN
      0016-0032
      Publisher
      Elsevier
      Volume
      343
      Issue
      7
      Pages
      756 - 758
      Language
      English
      Type
      Article
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      Abstract
      We present statistical analysis of blocks in the binary expansions of Feigenbaum constants a and d for the logistic map. The analysis is carried out on both 1016 and 3400 bit expansions. A w2 test is applied for lumping data and a serial test is applied on gliding data. Contrary to a previous research by Karamanos and Kotsireas, our test results did not indicate any evidence to reject randomness of these constants. Additional 25 randomness tests also support the conjecture of randomness of these constants having transcendental character.
      Keywords
      Feigenbaum Constants
      Normal Numbers
      Random Number Generation
      Statistical Analysis
      Permalink
      http://hdl.handle.net/11693/11503
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.jfranklin.2006.10.004
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