Dynamic Structures of Monomials on p-adic Integers for Small Primes p

2019/09/12 by Myunghyun Jung, Jung, Myunghyun, Donggyun Kim +1
Computer Science · Mathematics · #11S82 #37P35 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Topological and Geometric Data Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1909.05605

openalex publication_date 2019/09/12 · openalex created_date 2019/09/19 · openalex updated_date 2026/07/28

Abstract

We study the dynamic structures of the monomial x^m over the ring of p-adic integers for every positive integer m and for primes p=2,3 and 5. The dynamic structures are described by investigating minimal decompositions which consist of minimal subsystems and attracting basins.

Citations

• Dynamic Structures of 2-adic Fibonacci Polynomials

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