The Discrepancy Method

Randomness and Complexity

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The discrepancy method is the most fruitful line of attack on the pivotal question: what is the computational power of random bits? This book includes such topics as communication complexity, pseudo-randomness, rapidly mixing Markov chains, derandomization, convex hulls and Voronoi diagrams, linear programming, geometric sampling and VC-dimension theory, and multidimensional searching.