Limit theorems for cuspidal orbits on Fuchsian groups

Sandro Bettin, Sary Drappeau, Jungwon Lee

Let $\Gamma \subset \mathrm{SL}(2,\mathbb{R})$ be discrete, co-finite with cusps, and let $\mathfrak{b}\in \mathbb{R}\cup \{\infty \}$ be a cusp of $\Gamma$. Let $f: Γ{\frak b} \to \mathbb{…