18 citations · 32 across the 10 of their papers we have counts for
14 papers
Hénon maps with many rational periodic points
Hyeonggeun Kim, Holly Krieger, Mara-Ioana Postolache +1
Building on work of Doyle and Hyde on polynomial maps in one variable, we produce for each odd integer a Hénon map of degree defined over with at least…
A dynamical Shafarevich theorem for endomorphisms of
Jamie Juul, Holly Krieger, Nicole Looper +1
We prove a dynamical analogue of the Shafarevich conjecture for morphisms of degree , defined over a number field . This extends previ…
Birational maps with transcendental dynamical degree
Jason Bell, Jeffrey Diller, Mattias Jonsson +1
We give examples of birational selfmaps of , whose dynamical degree is a transcendental number. This contradicts a conjecture by Bellon and Viallet. The pro…
Common preperiodic points for quadratic polynomials
Laura DeMarco, Holly Krieger, Hexi Ye
Let for . We show there exists a uniform bound on the number of points in that can be preperiodic for both a…
Uniform Manin-Mumford for a family of genus 2 curves
Laura DeMarco, Holly Krieger, Hexi Ye
We introduce a general strategy for proving quantitative and uniform bounds on the number of common points of height zero for a pair of inequivalent height functions on $\mathbb{P}…
Arboreal representations for rational maps with few critical points
Jamie Juul, Holly Krieger, Nicole Looper +3
Jones conjectures the arboreal representation of a degree two rational map will have finite index in the full automorphism group of a binary rooted tree except under certain condit…