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The Discrepancy Method: Randomness and Complexity by Bernard Chazelle, B. Chazelle

The Discrepancy Method: Randomness and Complexity

by Bernard Chazelle , B. Chazelle
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Book cover type: Hardcover
  • ISBN13: 9780521770934
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 494
  • Original Price: GBP 133.0
  • Language: English
  • Edition: N/A
  • Item Weight: 785 grams
  • BISAC Subject(s): Computer Science

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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