TY - BOOK AU - Gabizon,Ariel ED - SpringerLink (Online service) TI - Deterministic Extraction from Weak Random Sources T2 - Monographs in Theoretical Computer Science. An EATCS Series, SN - 9783642149030 AV - QA75.5-76.95 U1 - 004.0151 23 PY - 2011/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg, Imprint: Springer KW - Computer science KW - Information theory KW - Geometry, algebraic KW - Combinatorics KW - Computer Science KW - Theory of Computation KW - Mathematics of Computing KW - Algebraic Geometry N2 - 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 UR - http://dx.doi.org/10.1007/978-3-642-14903-0 ER -