2 citations · 3 across the 8 of their papers we have counts for
8 papers
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…
A Tits alternative for rational functions
Jason P. Bell, Keping Huang, Wayne Peng +1
We prove an analog of the Tits alternative for rational functions. In particular, we show that if is a finitely generated semigroup of rational functions over the complex numbe…
A Unique Chief Series in the arboreal Galois Group of Belyi Maps
Wayne Peng
We give a complete description of the normal subgroups of arboreal Galois groups of Belyi maps. The normal groups form a unique chief series. We also carefully compute the discrimi…
Unlikely intersection problems for restricted lifts of p-th power
Wayne Peng
I define a morphism on called a lift of -th power if its natural restriction to the residue field of is a -th power of some morphism. This defin…
New Normal Forms For Degree Three Polynomials and Rational Functions
Heidi Benham, Alexander Galarraga, Benjamin Hutz +3
When studying families in the moduli space of dynamical systems, choosing an appropriate representative function for a conjugacy class can be a delicate task. The most delicate que…
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…
ABC Implies There are Infinitely Many non-Fibonacci-Wieferich Primes - An Application of ABC Conjecture over Number Fields
Wayne Peng
In this paper, we define -base Fibonacci-Wieferich prime which is a generalized Wieferich prime where is a finite set of algebraic numbers. We are going to show that there a…
Wall's Conjecture and the ABC Conjecutre
George Grell, Wayne Peng
We show that the conjecture of Masser-Oesterlé-Szpiro for number fields implies that there are infinitely many non-Fibonacci-Wieferich primes. We also provide a new heuristic…