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Randomness, Computation and Mathematics

  • Rod Downey
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7318)

Abstract

This article examines some of the recent advances in our understanding of algorithmic randomness. It also discusses connections with various areas of mathematics, computer science and other areas of science. Some questions and speculations will be discussed.

Keywords

Ergodic Theorem Computable Function Kolmogorov Complexity Random String Random Real 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Rod Downey
    • 1
    • 2
  1. 1.School of Mathematics, Statistics and Operations ResearchVictoria UniversityWellingtonNew Zealand
  2. 2.Isaac Newton Institute for Mathematical SciencesCambridgeUnited Kingdom

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