Hausdorff Dimension of Growth Rate Level Sets in $\hat{I}¸$-expansions

Andreas Rusu, Gabriela Ileana Sebe

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