2 citations · 4 across the 6 of their papers we have counts for
6 papers
Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in -expansions
Andreea Catalina Chitu, Gabriela Ileana Sebe, Dan Lascu
We establish sharp bounds for the Hausdorff dimension of sets of irrational numbers in whose digits in the -expansion are either uniformly bounded or tend to infinity. F…
Limit Theorems for -expansions and the Failure of the Strong Law
Andreas Rusu, Gabriela Ileana Sebe, Dan Lascu
The paper presents fundamental metrical theorems for a class of continued fraction-like expansions known as -expansions. We first prove Khinchine's Weak Law of Large Numbers for…
Hausdorff dimension of exceptional sets arising in -expansions
Gabriela Ileana Sebe, Dan Lascu
For a fixed , , let and be the -expansion of . Our first goal is to extend for -expansions the r…
On the -mixing coefficients of Rényi-type maps
Gabriela Ileana Sebe, Dan Lascu
Via dependence with complete connections we investigate the -mixing coefficients of the sequence of incomplete quotients and also of the doubly infini…
On the Extreme Value Behavior of -Expansions
Gabriela Ileana Sebe, Dan Lascu, Bilel Selmi
The main objective of this paper is to develop extreme value theory for -expansions. We establish the limit distribution of the maximum value in a -continued…
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…