7 papers
A Lochs-Type Approach via Entropy in Comparing the Efficiency of Different Continued Fraction Algorithms
Dan Lascu, Gabriela Ileana Sebe
We investigate the efficiency of several types of continued fraction expansions of a number in the unit interval using a generalization of Lochs theorem from 1964. Thus, we aimed t…
Two asymptotic distributions related to Rényi-type continued fraction expansions
Gabriela Ileana Sebe, Dan Lascu
We attempt to investigate a two-dimensional Gauss-Kuzmin theorem for Rényi-type continued fraction expansions. More precisely speaking, our focus is to obtain specific lower and up…
Convergence rate for Rényi-type continued fraction expansions
Gabriela Ileana Sebe, Dan Lascu
This paper continues our investigation of Renyi-type continued fractions studied in \cite{Sebe&Lascu-2018}. A Wirsing-type approach to the Perron-Frobenius operator of the Rényi-ty…
A Gauss-Kuzmin-Lévy theorem for Rényi-type continued fractions
Dan Lascu, Gabriela Ileana Sebe
We consider an interval map which is a generalization of the Rényi transformation. For the continued fraction expansion arising from this transformation, we prove a result concerni…
A dependence with complete connections approach to generalized Rényi continued fractions
Gabriela Ileana Sebe, Dan Lascu
We introduce and study in detail a special class of backward continued fractions that represents a generalization of Rényi continued fractions. We investigate the main metrical pro…
On convergence rate in the Gauss-Kuzmin problem for -expansions
Gabriela Ileana Sebe, Dan Lascu
After providing an overview of -expansions introduced by Chakraborty and Rao, we focus on the Gauss-Kuzmin problem for this new transformation. Actually, we complete our study o…