Parabolic Iterated Function Systems with Applications to the Backward Continued Fractions
classification
🧮 math.DS
keywords
backwardcontinueddimensionfunctionhausdorffiteratedlimitparabolic
read the original 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
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.