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Discrepancy Method

Language EnglishEnglish
Book Hardback
Book Discrepancy Method Bernard Chazelle
Libristo code: 02042534
Publishers Cambridge University Press, July 2000
The discrepancy method is the glue that binds randomness and complexity. It is the bridge between ra... Full description
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The discrepancy method is the glue that binds randomness and complexity. It is the bridge between randomized computation and discrepancy theory, the area of mathematics concerned with irregularities in distributions. The discrepancy method has played a major role in complexity theory; in particular, it has caused a mini-revolution of sorts in computational geometry. This book tells the story of the discrepancy method in a few short independent vignettes. It is a varied tale which includes such topics as communication complexity, pseudo-randomness, rapidly mixing Markov chains, points on the sphere and modular forms, derandomization, convex hulls, Voronoi diagrams, linear programming and extensions, geometric sampling, VC-dimension theory, minimum spanning trees, linear circuit complexity, and multidimensional searching. The mathematical treatment is thorough and self-contained. In particular, background material in discrepancy theory is supplied as needed. Thus the book should appeal to students and researchers in computer science, operations research, pure and applied mathematics, and engineering.

About the book

Full name Discrepancy Method
Language English
Binding Book - Hardback
Date of issue 2000
Number of pages 494
EAN 9780521770934
ISBN 0521770939
Libristo code 02042534
Weight 780
Dimensions 152 x 229 x 32
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