106 citations · 200 across the 16 of their papers we have counts for
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math.NT2012★ 4 cited
Newly reducible iterates in families of quadratic polynomials
Katharine Chamberlin, Emma Colbert, Sharon Frechette +3
We examine the question of when a quadratic polynomial f(x) defined over a number field K can have a newly reducible nth iterate, that is, f^n(x) irreducible over K but f^{n+1}(x)…
math.DS2012★ 2 cited
Fixed-point-free elements of iterated monodromy groups
Rafe Jones
The iterated monodromy group of a post-critically finite complex polynomial of degree d \geq 2 acts naturally on the complete d-ary rooted tree T of preimages of a generic point. T…
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…