Badly approximable vectors on a vertical Cantor set

Erez Nesharim

For $i,j>0,i+j=1$, the set of badly approximable vectors with weight $(i,j)$ is defined by $Bad(i, j) = \{(x, y) \in \R^2 : \exists c > 0 \forall q\in\N, \;\; \max\{q||qx|…