Periodic points in towers of finite fields for polynomials associated to algebraic groups

2013/01/25 by Michelle Manes, Manes, Michelle, Bianca Thompson +1 · 1 citation
Computer Science · Mathematics · #11T06 #Advanced Differential Equations and Dynamical Systems #Coding theory and cryptography #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Primary 37P25 #Secondary 37P05 #math.NT #msc:11T06 #msc:37P05 #msc:37P25

paper · pdf · doi:10.48550/arxiv.1301.6158

18 pages, 2 figures, 10 tables

arxiv created 2013/01/25 · openalex publication_date 2013/01/25 · arxiv updated 2013/01/28 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We find the limiting proportion of periodic points in towers of finite fields for polynomial maps associated to algebraic groups, namely pure power maps z^d and Chebyshev polynomials.

Cited by

• Periodicity and Dynamical Systems of Dickson Polynomials in Finite Fields

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