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FOCS
1999
IEEE
14 years 27 days ago
Near-Optimal Conversion of Hardness into Pseudo-Randomness
Various efforts ([?, ?, ?]) have been made in recent years to derandomize probabilistic algorithms using the complexity theoretic assumption that there exists a problem in E = dti...
Russell Impagliazzo, Ronen Shaltiel, Avi Wigderson
SPAA
2009
ACM
14 years 3 months ago
Locally scalable randomized consensus for synchronous crash failures
We consider bit communication complexity of binary consensus in synchronous message passing systems with processes prone to crashes. A distributed algorithm is locally scalable wh...
Bogdan S. Chlebus, Dariusz R. Kowalski
COCO
2008
Springer
146views Algorithms» more  COCO 2008»
13 years 10 months ago
A Direct Product Theorem for Discrepancy
Discrepancy is a versatile bound in communication complexity which can be used to show lower bounds in the distributional, randomized, quantum, and even unbounded error models of ...
Troy Lee, Adi Shraibman, Robert Spalek
JC
2007
94views more  JC 2007»
13 years 8 months ago
On the complexity of the multivariate Sturm-Liouville eigenvalue problem
We study the complexity of approximating the smallest eigenvalue of −∆ + q with Dirichlet boundary conditions on the d-dimensional unit cube. Here ∆ is the Laplacian, and th...
A. Papageorgiou
CORR
2006
Springer
120views Education» more  CORR 2006»
13 years 8 months ago
On the Role of Shared Entanglement
Despite the apparent similarity between shared randomness and shared entanglement in the context of Communication Complexity, our understanding of the latter is not as good as of ...
Dmitry Gavinsky