Rafe Jones

activity

20062026

most citedThe density of prime divisors in the arithmetic dynamics of quadratic polynomials

106 citations · 200 across the 16 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NT2021

Galois groups and prime divisors in random quadratic sequences

John R. Doyle, Vivian Olsiewski Healey, Wade Hindes +1

Given a set $S = {x^{2} + c_{1}, \dots, x^{2} + c_{s}}$ defined over a field and an infinite sequence $γ$ of elements of $S$ , one can associate an arboreal representation to $γ$ , generalizing th…

math.NT2021

Iterated monodromy groups of rational functions and periodic points over finite fields

Andrew Bridy, Rafe Jones, Gregory Kelsey +1

Let $q$ be a prime power and $ϕ$ a rational function with coefficients in a finite field $F_{q}$ . For $n \geq 1$ , each element of $\mathbb{P}^1(\F_{q^n})$ is either periodic…