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» On Uniform Recurrence of a Direct Product
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DMTCS
2010
163views Mathematics» more  DMTCS 2010»
13 years 2 months ago
On Uniform Recurrence of a Direct Product
A direct product of two words is a naturally defined word on the alphabet of pairs of symbols. We introduce the class URP of uniformly recurrent words such that a direct product o...
Pavel Vadimovich Salimov
SIAMCOMP
2010
147views more  SIAMCOMP 2010»
13 years 3 months ago
Uniform Direct Product Theorems: Simplified, Optimized, and Derandomized
The classical direct product theorem for circuits says that if a Boolean function f : {0, 1}n → {0, 1} is somewhat hard to compute on average by small circuits, then the correspo...
Russell Impagliazzo, Ragesh Jaiswal, Valentine Kab...
COCO
2008
Springer
146views Algorithms» more  COCO 2008»
13 years 6 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
TCC
2010
Springer
188views Cryptology» more  TCC 2010»
14 years 1 months ago
Almost Optimal Bounds for Direct Product Threshold Theorem
Abstract. We consider weakly-verifiable puzzles which are challengeresponse puzzles such that the responder may not be able to verify for itself whether it answered the challenge ...
Charanjit S. Jutla