Randomness Relative to Cantor Expansions

Details Randomness Relative to Cantor Expansions Randomness Relative to Cantor Expansions

2003-04-11

arxiv.org/abs/nlin/0304019v2

Communications in Nonlinear Science and Numerical Simulation 10(8), 921-930 (2005)

Nonlinear Sciences

Chaotic Dynamics

several small changes

Scientific paper

10.1016/j.cnsns.2004.05.003

Imagine a sequence in which the first letter comes from a binary alphabet, the second letter can be chosen on an alphabet with 10 elements, the third letter can be chosen on an alphabet with 3 elements and so on. When such a sequence can be called random? In this paper we offer a solution to the above question using the approach to randomness proposed by Algorithmic Information Theory.

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