Dynamics of Chebyshev polynomials on ${\mathbb{Z}}_2$

Abstract

The dynamical structure of Chebyshev polynomials on ${\mathbb{Z}}_2$, the ring of $2$-adic integers, is fully described by showing all its minimal subsystems and their attracting basins.

10 pages

References in corpus (1)

• Minimal polynomial dynamics on the set of 3-adic integers