Dan Lascu

collaborators

3 papers

math.NT2026

Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in $N$ -expansions

Andreea Catalina Chitu, Gabriela Ileana Sebe, Dan Lascu

We establish sharp bounds for the Hausdorff dimension of sets of irrational numbers in $(0, 1)$ whose digits in the $N$ -expansion are either uniformly bounded or tend to infinity. F…

math.NT2026

Limit Theorems for $I^¸$ -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 $I^¸$ -expansions. We first prove Khinchine's Weak Law of Large Numbers fo…

math.PR2025

On the Extreme Value Behavior of $ϑ$ -Expansions

Gabriela Ileana Sebe, Dan Lascu, Bilel Selmi

The main objective of this paper is to develop extreme value theory for $ϑ$ -expansions. We establish the limit distribution of the maximum value in a $ϑ$ -continued…

Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in N-expansions

Limit Theorems for I^¸-expansions and the Failure of the Strong Law

On the Extreme Value Behavior of ϑ-Expansions

Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in $N$ -expansions

Limit Theorems for $I^¸$ -expansions and the Failure of the Strong Law

On the Extreme Value Behavior of $ϑ$ -Expansions