4 problems

Let $\Gamma$ be a cocompact Fuchsian group, let $l$ be a fixed closed geodesic, and let $E(X)$ denote the error term in the asymptotic formula for the number $N(X,l)$ of counted ge…

Wolpert's conjecture. Analogous counting results should hold for simple closed multi-geodesics while keeping track of the hyperbolic length of each individual component, rather tha…

Let $\no_g$ be a non-orientable surface, let $\pmf(\no_g)$ be its space of projective measured foliations, and let $h$ be the Hausdorff dimension of the limit set of its mapping cl…

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…