20 citations · 82 across the 22 of their papers we have counts for
22 papers
Some asymptotic results for the continued fraction expansions with odd partial quotients
Gabriela Ileana Sebe, Dan Lascu
We present and develop different approaches to study the asymptotic behavior of the distribution functions in the odd continued fractions case. Firstly, by considering the transiti…
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…
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…