2 problems

Let $S_{g,n}$ be a genus-$g$ surface with $n$ punctures, let $\Mod(S_{g,n})$ be its mapping class group, and let $L_C(H)$ denote the least asymptotic translation length on the curv…

Let $S_{g,n}$ be a genus-$g$ surface with $n$ punctures, let $\Mod(S_{g,n})$ be its mapping class group, let $\PMod(S_{g,n})$ be the pure mapping class group, and let $L_{\C}(G)$ d…