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Self-similar measures on the Julia sets of polynomials |
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| Authors: | ZHOU Ji QIU Weiyuan Ren Fuyao |
| Abstract: | If the immediate basin of infinity of a polynomial P(z) contains at least one of its critical points, then there is a self-similar measure on its Julia set, and if all the critical points of P(z) lie in the immediate basin of in finity, then the self-similar measure is unique. |
| Keywords: | invariant Measure self-similar measure Fatou set Julia set critical point |
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