27 citations · 83 across the 13 of their papers we have counts for
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math.NT2017★ 20 cited
The Dynamical Manin-Mumford Conjecture and the Dynamical Bogomolov Conjecture for endomorphisms of (P^1)^n
Dragos Ghioca, Khoa D. Nguyen, Hexi Ye
We prove Zhang's Dynamical Manin-Mumford Conjecture and Dynamical Bogomolov Conjecture for dominant endomorphisms of (P^1)^n. We use the equidistribution theorem for points of smal…
math.NT2017★ 1 cited
Bounded height in families of dynamical systems
Laura DeMarco, Dragos Ghioca, Holly Krieger +3
Let a and b be algebraic numbers such that exactly one of a and b is an algebraic integer, and let f_t(z):=z^2+t be a family of polynomials parametrized by t. We prove that the set…