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» Constructing non-computable Julia sets
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STOC
2007
ACM
94views Algorithms» more  STOC 2007»
14 years 5 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
CORR
2004
Springer
90views Education» more  CORR 2004»
13 years 4 months ago
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
CG
2007
Springer
13 years 4 months ago
Generalized Binet dynamics
The Binet formula provides a mechanism for the Fibonacci numbers to be viewed as a function of a complex variable. The Binet formula may be generalized by using other bases and mu...
Ning Chen, Clifford A. Reiter
MFCS
2005
Springer
13 years 10 months ago
Coloring Sparse Random k-Colorable Graphs in Polynomial Expected Time
Abstract. Feige and Kilian [5] showed that finding reasonable approximative solutions to the coloring problem on graphs is hard. This motivates the quest for algorithms that eithe...
Julia Böttcher
APPROX
2010
Springer
139views Algorithms» more  APPROX 2010»
13 years 6 months ago
Two-Source Extractors Secure against Quantum Adversaries
We initiate the study of multi-source extractors in the quantum world. In this setting, our goal is to extract random bits from two independent weak random sources, on which two q...
Roy Kasher, Julia Kempe