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A class of M\"{o}bius iterated function systems
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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.
Abstract
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.
참고문헌 (5)
- M. F. Barnsley, "Fractals Everywhere" (1993), Academic Press Professional
- A. Hinkkanen, "Lipa’s legacy (New York, 1995)", pp.285~295 (1997), Amer. Math. Soc.
- J. E. Hutchinson, "Fractals and self-similarity", Indiana Univ. Math. J., 30(5), pp.713~747 (1981)[DOI]
- J. Richter-Gebert, "The Interactive Geometry Software Cinderella" (1999), Springer-Verlag
- A. Vince, "M¨obius iterated function systems", Trans. Amer. Math. Soc, 365(1), pp.491~509 (2013)[DOI]
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