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We characterize M\"{o}bius functions mapping the unit disc of the complex plane contractively into itself. We then give a procedure to produce M\"{o}bius iterated function systems on the unit disc.
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참고문헌 (5)
참고문헌 신청
M. F. Barnsley / 1993 / Fractals Everywhere / Academic Press Professional
A. Hinkkanen / 1997 / Lipa’s legacy (New York, 1995) / Amer. Math. Soc. :285~295
J. E. Hutchinson / 1981 / Fractals and self-similarity / Indiana Univ. Math. J. 30(5):713~747
J. Richter-Gebert / 1999 / The Interactive Geometry Software Cinderella / Springer-Verlag
A. Vince / 2013 / M¨obius iterated function systems / Trans. Amer. Math. Soc 365(1):491~509
A. Hinkkanen / 1997 / Lipa’s legacy (New York, 1995) / Amer. Math. Soc. :285~295
J. E. Hutchinson / 1981 / Fractals and self-similarity / Indiana Univ. Math. J. 30(5):713~747
J. Richter-Gebert / 1999 / The Interactive Geometry Software Cinderella / Springer-Verlag
A. Vince / 2013 / M¨obius iterated function systems / Trans. Amer. Math. Soc 365(1):491~509
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