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

Number Theory 2019-09-13 v1 Dynamical Systems

Abstract

We study the dynamic structures of the monomial xmx^m over the ring of pp-adic integers for every positive integer mm and for primes p=2,3p=2,3 and 55. The dynamic structures are described by investigating minimal decompositions which consist of minimal subsystems and attracting basins.

Cite

@article{arxiv.1909.05605,
  title  = {Dynamic Structures of Monomials on $p$-adic Integers for Small Primes $p$},
  author = {Myunghyun Jung and Donggyun Kim},
  journal= {arXiv preprint arXiv:1909.05605},
  year   = {2019}
}

Comments

32 pages. arXiv admin note: text overlap with arXiv:1903.05735

R2 v1 2026-06-23T11:13:22.559Z