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Randomness Relative to Cantor Expansions

Cristian S. Calude·Ludwig Staiger·Karl Svozil
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Abstract

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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Cristian S. Calude, Ludwig Staiger, Karl Svozil. 2005-04-04. Randomness Relative to Cantor Expansions. https://doi.org/10.1016/j.cnsns.2004.05.003

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