Algorithmic Randomness

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Algorithmic Randomness is written by Johanna N. Y. Franklin and published by Cambridge University Press. It's available with International Standard Book Number or ISBN identification 1108808271 (ISBN 10) and 9781108808279 (ISBN 13).

The last two decades have seen a wave of exciting new developments in the theory of algorithmic randomness and its applications to other areas of mathematics. This volume surveys much of the recent work that has not been included in published volumes until now. It contains a range of articles on algorithmic randomness and its interactions with closely related topics such as computability theory and computational complexity, as well as wider applications in areas of mathematics including analysis, probability, and ergodic theory. In addition to being an indispensable reference for researchers in algorithmic randomness, the unified view of the theory presented here makes this an excellent entry point for graduate students and other newcomers to the field.