Parabolic Iterated Function Systems with Applications to the Backward Continued Fractions
Dynamical Systems
2007-11-09 v1
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
Cite
@article{arxiv.0711.1336,
title = {Parabolic Iterated Function Systems with Applications to the Backward Continued Fractions},
author = {Andrei E. Ghenciu},
journal= {arXiv preprint arXiv:0711.1336},
year = {2007}
}