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» Filled Julia Sets with Empty Interior Are Computable
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FOCM
2007
83views more  FOCM 2007»
13 years 5 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
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
CG
2004
Springer
13 years 5 months ago
Views of Fibonacci dynamics
The Binet formula gives a natural way for Fibonacci numbers to be viewed as a function of a complex variable. We experimentally study the complex dynamics of the Fibonacci numbers...
Clifford A. Reiter
SIGGRAPH
2000
ACM
13 years 10 months ago
Conservative volumetric visibility with occluder fusion
Visibility determination is a key requirement in a wide range of graphics algorithms. This paper introduces a new approach to the computation of volume visibility, the detection o...
Gernot Schaufler, Julie Dorsey, Xavier Déco...