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The Discrepancy Method: Randomness and Complexity

The Discrepancy Method: Randomness and Complexity

Paperback

Series: Randomness and Complexity

General ComputersGeneral Mathematics

ISBN10: 0521003571
ISBN13: 9780521003575
Publisher: Cambridge
Published: Jan 14 2002
Pages: 494
Weight: 1.43
Height: 0.99 Width: 6.98 Depth: 8.22
Language: English
The discrepancy method has produced the most fruitful line of attack on a pivotal computer science question: What is the computational power of random bits? It has also played a major role in recent developments in complexity theory. This book tells the story of the discrepancy method in a few succinct independent vignettes. The chapters explore such topics as communication complexity, pseudo-randomness, rapidly mixing Markov chains, points on a sphere, derandomization, convex hulls and Voronoi diagrams, linear programming, geometric sampling and VC-dimension theory, minimum spanning trees, circuit complexity, and multidimensional searching. The mathematical treatment is thorough and self-contained, with minimal prerequisites. More information can be found on the book's home page at http: //www.cs.princeton.edu/ chazelle/book.html.

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General Computers