On the statistical Analysis of Feigenbaum Constants
Author
Sezgin, F.
Sezgin, T. M.
Date
2006-11Source Title
Journal of the Franklin Institute
Print ISSN
0016-0032
Publisher
Elsevier
Volume
343
Issue
7
Pages
756 - 758
Language
English
Type
ArticleItem Usage Stats
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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.