Galois groups and prime divisors in random quadratic sequences
From MaRDI portal
Publication:6142649
DOI10.1017/s0305004123000439arXiv2108.11233OpenAlexW3195026555MaRDI QIDQ6142649
John R. Doyle, Vivian Olsiewski Healey, Wade Hindes, Rafe Jones
Publication date: 4 January 2024
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.11233
Galois theory (11R32) Galois representations (11F80) Diophantine equations (11D99) Dynamical systems over global ground fields (37P15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Galois group over \(\mathbb{Q}\) of some iterated polynomials
- Finite index theorems for iterated Galois groups of cubic polynomials
- Probability essentials.
- Dynamical height growth: left, right, and total orbits
- Stochastic canonical heights
- Irreducible polynomials in quadratic semigroups
- ABC implies primitive prime divisors in arithmetic dynamics
- The density of prime divisors in the arithmetic dynamics of quadratic polynomials
- Galois theory of iterated endomorphisms
- Arithmetic properties of periodic points of quadratic maps
- Rational Periodic Points of the Quadratic Function Q c (x) = x 2 + c
- Average Zsigmondy sets, dynamical Galois groups, and the Kodaira-Spencer map
- The set of stable primes for polynomial sequences with large Galois group
- Galois representations from pre-image trees: an arboreal survey
- A question for iterated Galois groups in arithmetic dynamics
- Riccati equations and polynomial dynamics over function fields
- Finite orbit points for sets of quadratic polynomials
- Iterated Galois towers, their associated martingales, and the $p$-adic Mandelbrot set
- Canonical Heights for Random Iterations in Certain Varieties
- Constraining Images of Quadratic Arboreal Representations
- Probability: A Graduate Course
This page was built for publication: Galois groups and prime divisors in random quadratic sequences