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» Non-computable Julia sets
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STOC
2007
ACM
94views Algorithms» more  STOC 2007»
14 years 6 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 5 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
FOCM
2007
83views more  FOCM 2007»
13 years 6 months ago
Filled Julia Sets with Empty Interior Are Computable
We show that if a polynomial filled Julia set has empty interior, then it is computable.
Ilia Binder, Mark Braverman, Michael Yampolsky
VISUALIZATION
1990
IEEE
13 years 10 months ago
Interactive Visualization of Quaternion Julia Sets
John C. Hart, Louis H. Kauffman, Daniel J. Sandin