Far East Journal of Dynamical Systems
Volume 13, Issue 1, Pages 33 - 42
(May 2010)
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CONTINUOUS DEPENDENCE ON THE PARAMETERS OF SELF-SIMILAR SETS AND SELF-SIMILAR MEASURES
Dao-Xin Ding
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Abstract:
In this paper, we prove that the self-similar set generated by iterated function system is depending continuously on the contraction ratios and translation vectors, and the corresponding self-similar measure associated to the probability weight behaves in much the same way. |
| Keywords and phrases: iterated function system, self-similar set, self-similar measure. |
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