Sarah Koch

activity

20112022

most citedRoots, Schottky semigroups, and a proof of Bandt's Conjecture

14 citations · 28 across the 12 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.DS2022

Totally real points in the Mandelbrot Set

Xavier Buff, Sarah Koch

Recently, Noytaptim and Petsche proved that the only totally real parameters $c \in Q$ for which $f_{c} (z) := z^{2} + c$ is postcritically finite are $0$ , $- 1$ and $- 2$ .…

math.DS2022

On the deck groups of iterates of bicritical rational maps

Sarah Koch, Kathryn Lindsey, Thomas Sharland

Given a rational map $f : C \to C$ on the Riemann sphere, we define $Deck (f)$ to be the group of Möbius transformations $μ$ satisfying $f \…

math.DS2022

Bicritical rational maps with a common iterate

Sarah Koch, Kathryn Lindsey, Thomas Sharland

Let $f$ be a degree $d$ bicritical rational map with critical point set $C_{f}$ and critical value set $V_{f}$ . Using the group $Deck (f^{k})$ of deck transfo…