The discrepancy method : Randomness and complexity

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 succi...

पूर्ण विवरण

में बचाया:
ग्रंथसूची विवरण
मुख्य लेखक: Chazelle, B.
स्वरूप: पुस्तक
भाषा:Undetermined
प्रकाशित: Cambridge, UK Cambridge University Press 2000
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विवरण
सारांश: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