The Image Size of Iterated Rational Maps over Finite Fields

DOI10.1093/imrn/rnz217zbMath1477.37103arXiv1706.07458OpenAlexW2984022609MaRDI QIDQ5006230

Jamie Juul

Publication date: 13 August 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07458

zbMATH Keywords

Galois groupfinite fieldrational mapChebotarev density theorempreperiodic pointsiterated maps

Mathematics Subject Classification ID

Galois theory (11S20) Rational and birational maps (14E05) Density theorems (11R45) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over global ground fields (37P15)

Related Items (4)

Periodic points of polynomials over finite fields ⋮ Iteration of polynomials \(AX^d + C\) over finite fields ⋮ Functional graphs of families of quadratic polynomials ⋮ Backward orbits of critical points

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