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20082018
most citedOn a Gauss-Kuzmin-Type Problem for a Family of Continued Fraction Expansions

20 citations

researchers with a paper here
collaborating institutions

8 papers

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…

math.NT2015★ 12 cited

Dependence with complete connections and the Gauss-Kuzmin theorem for N-continued fractions

Dan Lascu

We consider a family of interval maps as generalizations of the Gauss transformation. For the continued fraction expansion arising from , we solve its Gaus…

math.NT2013★ 8 cited

A Gauss-Kuzmin theorem for continued fractions associated with non-positive interger powers of an integer

Dan Lascu

We consider a family of interval maps introduced by Hei-Chi Chan [5] as generalizations of the Gauss transformation. For the continued fraction expansion arising…

math.NT2013★ 18 cited

A gauss-kuzmin theorem and related questions for -expansions

Gabriela Ileana Sebe, Dan Lascu

Using the natural extension for -expansions, we give an infinite-order-chain representation of the sequence of the incomplete quotients of these expansions. Together with the er…