Algorithmic Randomness
eBook - PDF

Algorithmic Randomness

Progress and Prospects

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Algorithmic Randomness

Progress and Prospects

About this book

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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Yes, you can access Algorithmic Randomness by Johanna N. Y. Franklin,Christopher P. Porter in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Contents
  7. Preface
  8. KEY DEVELOPMENTS IN ALGORITHMIC RANDOMNESS
  9. ALGORITHMIC RANDOMNESS IN ERGODIC THEORY
  10. ALGORITHMIC RANDOMNESS AND CONSTRUCTIVE/COMPUTABLE MEASURE THEORY
  11. ALGORITHMIC RANDOMNESS AND LAYERWISE COMPUTABILITY
  12. RELATIVIZATION IN RANDOMNESS
  13. ASPECTS OF CHAITIN’S OMEGA
  14. BIASED ALGORITHMIC RANDOMNESS
  15. HIGHER RANDOMNESS
  16. RESOURCE BOUNDED RANDOMNESS AND ITS APPLICATIONS
  17. INDEX