27 citations · 83 across the 13 of their papers we have counts for
7 papers · 1 filter
Bounded geometry for PCF-special subvarieties
Laura DeMarco, Niki Myrto Mavraki, Hexi Ye
For each integer , let denote the moduli space of maps of degree . We study the geometric configurations of subsets of postcriti…
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…
Quasi-adelic measures and equidistribution on
Niki Myrto Mavraki, Hexi Ye
Baker-Rumely and Favre-Rivera-Letelier independently proved an important arithmetic equidistribution theorem for points of small height on the Berkovich compactification of the pro…
Bifurcation measures and quadratic rational maps
Laura DeMarco, Xiaoguang Wang, Hexi Ye
We study critical orbits and bifurcations within the moduli space of quadratic rational maps on . We focus on the family of curves, for in …
Torsion points and the Lattes family
Laura DeMarco, Xiaoguang Wang, Hexi Ye
We give a dynamical proof of a result of Masser and Zannier [MZ2, MZ3] about torsion points on the Legendre family of elliptic curves. Our methods also treat points of small height…
Rational functions with identical measure of maximal entropy
Hexi Ye
We discuss when two rational functions and can have the same measure of maximal entropy. The polynomial case was completed by (Beardon, Levin, Baker-Eremenko,Schmidt-Steinm…
The Schwarzian derivative and polynomial iteration
Hexi Ye
We consider the Schwarzian derivative of a complex polynomial and its iterates. We show that the sequence converges to , for th…