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math.DSAug 9, 2012
53
citations (OpenAlex)
authors
  • Fabien Durand
  • Frédéric Paccaut
institutions
  • Centre National de la Recherche Scientifique
  • Laboratoire Amiénois de Mathématique Fondamentale et Appliquée
  • Université de Picardie Jules Verne
arXiv abstractPDF
paper

Minimal polynomial dynamics on the set of 3-adic integers

arXiv:1208.2016 · doi:10.1112/blms/bdp003

Abstract

In this paper are characterized the polynomials, in terms of their coefficients, that have all their orbits dense in the set of 3-adic integers.

Published in Bulletin of the London Mathematical Society in 2009

Cited by in corpus (8)

  • Dynamics of convergent power series on the integral ring of a finite extension of $\Qp$
  • Dynamics of the square mapping on the ring of p-adic integers
  • Minimality of 5-adic polynomial dynamical systems
  • Dynamics of Chebyshev polynomials on Z2​
  • Minimality of p-adic rational maps with good reduction
  • Toward the ergodicity of p-adic 1-Lipschitz functions represented by the van der Put series
  • Linear Relation on General Ergodic T-Function
  • Rational map ax+1/x on the projective line over Q2​
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