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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