27 citations · 83 across the 13 of their papers we have counts for
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math.NT2015★ 6 cited
The Dynamical Manin-Mumford Conjecture and the Dynamical Bogomolov Conjecture for split rational maps
Dragos Ghioca, Khoa D. Nguyen, Hexi Ye
We prove the Dynamical Bogomolov Conjecture for endomorphisms of P^1\times P^1 defined over a number field. We use the equidistribution theorem for points of small height with resp…
math.AG2015★ 18 cited
The Dynamical Andre-Oort Conjecture: Unicritical Polynomials
Dragos Ghioca, Holly Krieger, Khoa Nguyen +1
We establish the equidistribution with respect to the bifurcation measure of post-critically finite maps in any one-dimensional algebraic family of unicritical polynomials. Using t…
math.DS2015★ 2 cited
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…