Filled Julia sets with empty interior are computable. Binder, I., Braverman, M., & Yampolsky, M. Found. Comput. Math., 7(4):405–416, 2007.
Paper doi bibtex @ARTICLE{BBY07,
author = {Binder, I. and Braverman, M. and Yampolsky, M.},
title = {Filled {J}ulia sets with empty interior are computable},
journal = {Found. Comput. Math.},
year = {2007},
volume = {7},
pages = {405--416},
number = {4},
doi = {10.1007/s10208-005-0210-1},
file = {BBY07.pdf:BBY07.pdf:PDF},
fjournal = {Foundations of Computational Mathematics. The Journal of the Society
for the Foundations of Computational Mathematics},
issn = {1615-3375},
keywords = {bib,cca},
mrclass = {37F10 (03F60)},
mrnumber = {2352604 (2008i:37084)},
mrreviewer = {Peter Ha{\"{\i}}ssinsky},
owner = {Vasco},
timestamp = {2013.12.01},
url = {http://dx.doi.org/10.1007/s10208-005-0210-1}
}
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