3 papers
math.DS2022
Integrality and Thurston Rigidity for Bicritical PCF Polynomials
Heidi Benham, Alexander Galarraga, Benjamin Hutz +3
We give an algebraic proof of an important consequence of Thurston rigidity for bicritical PCF polynomials with periodic critical points under certain mild assumptions. The key res…
math.NT2019
Permutation polynomials: iteration of shift and inversion maps over finite fields
Anna Chlopecki, Juliano Levier-Gomes, Wayne Peng +2
We show that all permutations in can be generated by affine unicritical polynomials. We use the group structure to compute the cycle structure of permuta…
math.NT2012
Newton's Method Over Global Height Fields
Xander Faber, Adam Towsley
Newton's method is used to approximate roots of complex valued functions f by creating a sequence of points that converges to a root of f in the usual topology. For any field K equ…