THE BOUNDARY OF THE ATTRACTOR OF A RECURRENT ITERATED FUNCTION SYSTEM
Keyword(s):
We prove for a subclass of recurrent iterated function systems (also called graph-directed iterated function systems) that the boundary of their attractor is again the attractor of a recurrent IFS. Our method is constructive and permits computation of the Hausdorff dimension of the attractor and its boundary.
2013 ◽
Vol 34
(3)
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pp. 854-875
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2018 ◽
Vol 7
(3.31)
◽
pp. 126
2016 ◽
Vol 102
(3)
◽
pp. 435-443
2013 ◽
Vol 59
(2)
◽
pp. 281-298