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The Discrepancy Method PDF

491 Pages·2002·3.48 MB·English
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by Bernard Chazelle| 2002| 491 pages| 3.48| English

About The Discrepancy Method

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.

Detailed Information

Author:Bernard Chazelle
Publication Year:2002
ISBN:9780521003575
Pages:491
Language:English
File Size:3.48
Format:PDF
Price:FREE
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