Algorithmic Randomness Progress and Prospects
Algorithmic Randomness Progress and Prospects by Johanna N. Y. Franklin, published by Cambridge University Press on May 7, 2020, is a comprehensive volume that explores recent advancements in the theory of algorithmic randomness. Spanning 368 pages, this edition presents a collection of articles that delve into the interactions between algorithmic randomness and related fields such as computability theory and computational complexity, alongside its applications in mathematics, including analysis and probability.
Readers will find a thorough survey of developments that have emerged over the last two decades, much of which has not been previously compiled in published works. This book serves as both an essential reference for researchers in algorithmic randomness and a valuable resource for graduate students and newcomers to the field, offering a unified perspective on the theory and its broader implications in mathematics and statistics.
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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.
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