A. Rusu

collaborators

2 papers

math.DS2026

Hausdorff Dimension of Growth Rate Level Sets in $I^¸$ -expansions

Andreas Rusu, Gabriela Ileana Sebe

We investigate the Hausdorff dimension of level sets defined by digit growth rates in $I^¸$ -expansions, a generalization of regular continued fractions. For any $I^\pm \geq 0$ , we prove…

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…

Hausdorff Dimension of Growth Rate Level Sets in I^¸-expansions

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

Hausdorff Dimension of Growth Rate Level Sets in $I^¸$ -expansions

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