Deterministic Extraction from Weak Random Sources

 Previously published in hardcover
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ISBN-13:
9783642265389
Einband:
Previously published in hardcover
Erscheinungsdatum:
01.12.2012
Seiten:
160
Autor:
Ariel Gabizon
Gewicht:
252 g
Format:
235x155x8 mm
Sprache:
Englisch
Beschreibung:

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.
First complete treatment of the topic
Introduces new results
Results introduced will impact on various disciplines
Introduction
Deterministic Extractors for Bit-Fixing Sources by Obtaining an Independent Seed
Deterministic Extractors for Affine Sources Over Large Fields
Extractors and Rank Extractors for Polynomial Sources
Increasing the Output Length of Zero-Error Dispersers
App. A, Sampling and Partitioning
App. B, Basic Notions from Algebraic Geometry
Bibliography
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.