2 problems

Let ${\mathfrak p}$ be a parabolic endpoint of edges in ${\bf Tes}_q({\overline{\mathcal S}}_p)$, and let $H_{\mathfrak p}$ be its Type D hyperbolic component. Edge Monotonicity Co…

Monotonicity Conjecture. As we cross any primary ray of co-period $q$ into the face which contains $H_\mathfrak{p}$, the period $q$ orbit portrait is replaced by a strictly larger…