article · 2010

A Random Sequence of Reals

Kenshi Miyabe

Cited by 0Abstract and details only

Abstract

We define a random sequence of reals as a random point on a computable topological space. This randomness has three equivalent simple characterizations, namely, by tests, by martingales and by complexity. We prove that members of a random sequence are relatively random. Conversely a relatively random sequence of reals has a random sequence such that each corresponding member is Turing equivalent. Furthermore strong law of large numbers and the law of the iterated logarithm hold for each random sequence.

Cite this paper

APA 7

Miyabe, K. (2010). A Random Sequence of Reals.

MLA 9

Miyabe, Kenshi. “A Random Sequence of Reals.” 2010.

Chicago

Miyabe, Kenshi. 2010. “A Random Sequence of Reals.”

Harvard

Miyabe, K. (2010) ‘A Random Sequence of Reals’.

BibTeX

@article{miyabe2010random,
  title = {{A Random Sequence of Reals}},
  author = {Miyabe, Kenshi},
  year = {2010}
}

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