The Discrepancy Method: Randomness and Complexity by Bernard Chazelle

The Discrepancy Method: Randomness and Complexity



Download The Discrepancy Method: Randomness and Complexity




The Discrepancy Method: Randomness and Complexity Bernard Chazelle
Language: English
Page: 481
Format: djvu
ISBN: 0521770939, 9780521770934
Publisher: Cambridge University Press

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.

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