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arXiv · 1503.06332

Trivial measures are not so trivial

Christopher P. Porter
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Abstract

Although algorithmic randomness with respect to various non-uniform computable measures is well-studied, little attention has been paid to algorithmic randomness with respect to computable \emph{trivial} measures, where a measure $μ$ on $2^ω$ is trivial if the support of $μ$ consists of a countable collection of sequences. In this article, it is shown that there is much more structure to trivial computable measures than has been previously suspected.

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Christopher P. Porter. 2015-03-21. Trivial measures are not so trivial. https://doi.org/10.1007/s00224-015-9614-8

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