8 problems

Let $f\colon \widehat{\mathbb{C}}\to\widehat{\mathbb{C}}$ be a post-critically finite rational map that is not a flexible Lattès map. A simple closed curve on…

Let $\Gamma$ be a surface group acting by isometries on an $\mathbb R$-tree. The action is minimal if no proper subtree is invariant under $\Gamma$, and small if edge stabilizer su…

Zero-intersection characterization. For any $F\in\mathcal{PMF}$,

The generalized pseudo-Anosov maps under consideration preserve a pair of measured foliations with singularities, denoted by ${\mathcal{F}}^{u,s}$. A map has finitely many singular…

Let $S$ be a closed surface, let $\mathcal{FMF}(S)$ denote the space of pairs of measured foliations on $S$, and let $t>0$. The current result concerns measured foliations at infin…

Let $\no_g$ be a non-orientable surface with $g\geq 4$. Let $\pmf^+(\no_g)$ be the space of projective measured foliations on $\no_g$ containing no one-sided leaves, and let…

Let $S$ be a finite-type surface, let $\mathcal{S}\subset\mathcal{PMF}$ be the set of simple closed curves, let $d_\star$ be the star metric, and let $d_\mathcal{C}$ be the distanc…

Let $S=S_{g,n}$ be a finite-type surface, let $\mathcal{PMF}(S)$ be its Thurston boundary of projective measured foliations, and let ${\sf S}(F)$ denote the star of $F$ and…