18 citations · 30 across the 15 of their papers we have counts for
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math.NT2018★ 1 cited
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…
math.NT2018★ 7 cited
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…
math.NT2018★ 2 cited
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…