Extracting Randomness: How and Why - A survey

  • Authors:
  • Noam Nisan

  • Affiliations:
  • -

  • Venue:
  • CCC '96 Proceedings of the 11th Annual IEEE Conference on Computational Complexity
  • Year:
  • 1996

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Abstract

Extractors are boolean functions that allow, in some precise sense, extraction of randomness from somewhat random distributions. Extractors, and the closely related "Dispersers", exhibit some of the most "random-like" properties of explicitly constructed combinatorial structures. In turn, extractors and dispersers have many applications in :"removing randomness" in various settings, and in making randomized constructions explicit. This manuscript surveys extractors and dispersers: what they are, how they can be designed, and some of their applications. The work described is due to of a long list of research papers by various authors -- most notably by David Zuckerman.