ENGLISH

The Discrepancy Method

By Bernard Chazelle

Book information

Year
2002
ISBN
0521003571, 9780521003575
Open Library ID
OL7712660M
Language
english
Format
PDF
Filesize
3 MB (3649024 bytes)
Pages
491\491
Scanned
yes
Time added
2011-06-04 13:46:07

Description

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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