Mathematics – Dynamical Systems
Scientific paper
2007-11-08
Mathematics
Dynamical Systems
Scientific paper
To the Renyi or backward continued fraction transformation we associate a
parabolic iterated function system whose limit set has Hausdorff dimension 1.
We show that the Texan Conjecture holds, i.e. for every t in1] there exists a
subsystem whose limit set has Hausdorff dimension t
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