35 citations · 45 across the 8 of their papers we have counts for
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math.NT2012★ 3 cited
Uniform bounds for pre-periodic points in families of twists
Alon Levy, Michelle Manes, Bianca Thompson
Let phi be a morphism of projective N-space defined over a number field K. We prove that there is a bound B depending only on phi such that every twist of phi has no more than B K-…
math.AG2012★ 5 cited
An Algebraic Proof of Thurston's Rigidity for a Polynomial
Alon Levy
We study rational self-maps of whose critical points all have finite forward orbit. Thurston's rigidity theorem states that outside a single well-understood family…
math.NT2012★ 35 cited
Attracting cycles in p-adic dynamics and height bounds for post-critically finite maps
Robert L. Benedetto, Patrick Ingram, Rafe Jones +1
A rational function of degree at least two with coefficients in an algebraically closed field is post-critically finite (PCF) if all of its critical points have finite forward orbi…