3 problems

Let $\Sigma$ be a translation surface in a chamber $\mathcal{C}$ with Cantor–Bendixson rank $k_{\mathcal{C}}$, and let $N(L,\Sigma)$ denote the number of saddle connections of leng…

Let $\Sigma\in\mathcal{H}(\beta')$ be a translation surface in a chamber $\mathcal{C}$, and let $\Theta(\Sigma)$ be its set of saddle-connection directions. Define the Cantor–Bendi…

Bowen-type saddle-connection conjecture. Then $G$ exhibits saddle connections similar to the saddle connections in Example 1.