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STOC
2007
ACM
94views Algorithms» more  STOC 2007»
15 years 10 months ago
Constructing non-computable Julia sets
While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were ...
Mark Braverman, Michael Yampolsky
STOC
2007
ACM
109views Algorithms» more  STOC 2007»
15 years 10 months ago
Stability of the max-weight routing and scheduling protocol in dynamic networks and at critical loads
We study the stability of the Max-Weight protocol for combined routing and scheduling in communication networks. Previous work has shown that this protocol is stable for adversari...
Matthew Andrews, Kyomin Jung, Alexander L. Stolyar
STOC
2007
ACM
98views Algorithms» more  STOC 2007»
15 years 10 months ago
Negative weights make adversaries stronger
The quantum adversary method is one of the most successful techniques for proving lower bounds on quantum query complexity. It gives optimal lower bounds for many problems, has ap...
Peter Høyer, Troy Lee, Robert Spalek
ECCC
2007
100views more  ECCC 2007»
14 years 10 months ago
Unconditional pseudorandom generators for low degree polynomials
Abstract: We give an explicit construction of a pseudorandom generator against lowdegree polynomials over finite fields. Pseudorandom generators against linear polynomials, known...
Shachar Lovett
COCO
2007
Springer
96views Algorithms» more  COCO 2007»
15 years 4 months ago
Unbalanced Expanders and Randomness Extractors from Parvaresh-Vardy Codes
We give an improved explicit construction of highly unbalanced bipartite expander graphs with expansion arbitrarily close to the degree (which is polylogarithmic in the number of ...
Venkatesan Guruswami, Christopher Umans, Salil P. ...