The Discrepancy Method : Randomness and Complexity
Overview
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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Details
- ISBN-13: 9780521003575
- ISBN-10: 0521003571
- Publisher: Cambridge University Press
- Publish Date: January 2002
- Dimensions: 8.22 x 6.98 x 0.99 inches
- Shipping Weight: 1.43 pounds
- Page Count: 494
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