Notes on random reals

Daniel Osherson; Scott Weinstein

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arXiv · 1209.2875

Notes on random reals

Daniel Osherson·Scott Weinstein

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Abstract

The theory of random real numbers is exceedingly well-developed, and fascinating from many points of view. It is also quite challenging mathematically. The present notes are intended as no more than a gateway to the larger theory. They review just the most elementary part of the theory (bearing on Kolmogorov- and ML-randomness). We hope that the simple arguments presented here will encourage the enterprising student to examine richer treatments of the subject available elsewhere, notably, in Downey and Hirschfeldt (2010).

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Daniel Osherson, Scott Weinstein. 2012-09-13. Notes on random reals. https://arxiv.org/abs/1209.2875

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