Minimal polynomial dynamics on the set of 3-adic integers

Fabien Durand (1) , Frédéric Paccaut (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

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.

Mots clés: p-adic; minimal dynamical system; polynomial dynamics

Domaines: Systèmes dynamiques [math.DS]; Théorie des nombres [math.NT]

Fabien Durand, Frédéric Paccaut. Minimal polynomial dynamics on the set of 3-adic integers. Bulletin of the London Mathematical Society, 2009, ⟨10.1112/blms/bdp003⟩. ⟨hal-00723402⟩