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

DOI10.1007/S00208-023-02745-0MaRDI QIDQ6624743

Rafe Jones, Russell Lodge, Andrew Bridy, Gregory Kelsey

Publication date: 28 October 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

zbMATH Keywords

Riemann sphererational mapsorbifold metric

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic properties of periodic points (37P35) Dynamical systems over finite ground fields (37P25)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• On the iterations of certain maps \(X \mapsto K \cdot(X + X^{- 1})\) over finite fields of odd characteristic
• Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps
• Periodic points in towers of finite fields for polynomials associated to algebraic groups
• On the order of the reduction of a point on an abelian variety
• Probability and random processes.
• A monte carlo method for factorization
• Geometry and Dynamics of Quadratic Rational Maps
• Wreath Products and Proportions of Periodic Points
• Algorithmic aspects of branched coverings IV/V. Expanding maps
• The Image Size of Iterated Rational Maps over Finite Fields
• Periodic points of polynomials over finite fields
• Iterated Galois towers, their associated martingales, and the $p$-adic Mandelbrot set
• Fixed-point-free elements of iterated monodromy groups
• Dynamics in One Complex Variable. (AM-160)

This page was built for publication: Iterated monodromy groups of rational functions and periodic points over finite fields

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6624743)