Deterministic Extraction from Weak Random Sources (Hardback)

Deterministic Extraction from Weak Random Sources af Ariel Gabizon, ISBN 9783642149023

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Forfatter: Ariel Gabizon

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Serie:	Monographs in Theoretical Computer Science. an Eatcs Series
Sprog:	Engelsk
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Beskrivelser af Deterministic Extraction from Weak Random Sources

Forlagets beskrivelse: In this research monograph, the author constructs deterministic extractors for several types of sources, using a methodology of recycling randomness which enables increasing the output length of deterministic extractors to near optimal length. 1 black & white illustrations
Bibliotekernes beskrivelse: A deterministic extractor is a function that extracts almost perfect random bits from a weak random source. In this research monograph the author constructs deterministic extractors for several types of sources. A basic theme in this work is a methodology of recycling randomness which enables increasing the output length of deterministic extractors to near optimal length. The author's main work examines deterministic extractors for bit-fixing sources, deterministic extractors for affine sources and polynomial sources over large fields, and increasing the output length of zero-error dispersers. This work will be of interest to researchers and graduate students in combinatorics and theoretical computer science.