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arXiv · 0711.1336

Parabolic Iterated Function Systems with Applications to the Backward Continued Fractions

Andrei E. Ghenciu
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Abstract

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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Andrei E. Ghenciu. 2007-11-08. Parabolic Iterated Function Systems with Applications to the Backward Continued Fractions. https://arxiv.org/abs/0711.1336

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