English

Randomness Relative to Cantor Expansions

Chaotic Dynamics 2007-05-23 v2

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.

Cite

@article{arxiv.nlin/0304019,
  title  = {Randomness Relative to Cantor Expansions},
  author = {Cristian S. Calude and Ludwig Staiger and Karl Svozil},
  journal= {arXiv preprint arXiv:nlin/0304019},
  year   = {2007}
}

Comments

several small changes

R2 v1 2026-07-22T18:10:49.589Z