# American Institute of Mathematical Sciences

2011, 2011(Special): 903-912. doi: 10.3934/proc.2011.2011.903

## Minimality in iterative systems of Möbius transformations

 1 Center for Theoretical Study, Academy of Sciences and Charles University in Prague, Jilská 1, CZ-11000 Praha 1

Received  July 2010 Revised  March 2011 Published  October 2011

We study the parameter space of an iterative system consisting of two hyperbolic disc Möbius transformations. We identify several classes of parameters which yield discrete groups whose fundamental polygons have sides at the Euclidean boundary. It follows that these system are not minimal.
Citation: Petr Kůrka. Minimality in iterative systems of Möbius transformations. Conference Publications, 2011, 2011 (Special) : 903-912. doi: 10.3934/proc.2011.2011.903
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