Preperiodic points of polynomial dynamical systems over finite fields

DOI10.1142/S1793042124501124MaRDI QIDQ6628931

Aaron Andersen, Derek Garton

Publication date: 29 October 2024

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

finite fieldsGalois theoryperiodic pointsarithmetic dynamics

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Galois theory and commutative ring extensions (13B05) Arithmetic properties of periodic points (37P35) Dynamical systems over finite ground fields (37P25)

Cites Work

• Wreath Products and Proportions of Periodic Points
• Iterates of generic polynomials and generic rational functions
• ITERATION OF QUADRATIC POLYNOMIALS OVER FINITE FIELDS
• The Image Size of Iterated Rational Maps over Finite Fields
• Periodic points of polynomials over finite fields

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