Dan Lascu

activity

20182026

most citedA dependence with complete connections approach to generalized Rényi continued fractions

2 citations · 4 across the 6 of their papers we have counts for

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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 $θ$ -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 $θ$ -expansions. We first prove Khinchine's Weak Law of Large Numbers for…

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

Limit Theorems for θ-expansions and the Failure of the Strong Law

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

Limit Theorems for $θ$ -expansions and the Failure of the Strong Law