All Questions

Is every Cantor set $C\subseteq\mathbb R^{\infty}$ the limit set of a Fuchsian group? Let's recall the definitions. A Fuchsian group $G$ is a discrete subgroup of $\operatorname{PSL}(2,\mathbb R)=\...

Let $j:\mathbf{H}\to \mathbf{C}$ be the $j$-invariant. It's a modular function for $\Gamma(1) = \textrm{PSL}_2(\mathbf{Z})$. For $\epsilon>0$ small, let $B(\epsilon)$ be the image of the strip $$\{...