Parabolic Iterated Function Systems with Applications to the Backward Continued Fractions

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141735To 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 tDynamical SystemsParabolic Iterated Function Systems with Applications to the Backward Continued Fractionstext