3 problems

For each genus $g$, let $\delta_{g,0}$ denote the minimum dilatation among pseudo-Anosov maps on the closed surface of genus $g$, and let $\mu$ be the golden ratio. Hironaka's gold…

Fix $m\geq 2$, and let $f_1,f_2\in\operatorname{PA}(m)$ be $m$-modal standard PCP zig-zags of pseudo-Anosov type. Let $\lambda_i$ be the growth rate of $f_i$, and let…

Let $S$ be a closed surface and let $\phi$ be a pseudo-Anosov mapping class with dilatation $\lambda(\phi)$. For a fibered cohomology class, let $L(S,\phi)$ denote the correspondin…