On the statistical Analysis of Feigenbaum Constants

Date
2006-11
Authors
Sezgin, F.
Sezgin, T. M.
Advisor
Instructor
Source Title
Journal of the Franklin Institute
Print ISSN
0016-0032
Electronic ISSN
Publisher
Elsevier
Volume
343
Issue
7
Pages
756 - 758
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
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.

Course
Other identifiers
Book Title
Keywords
Feigenbaum Constants, Normal Numbers, Random Number Generation, Statistical Analysis
Citation
Published Version (Please cite this version)