Minimal Dynamical System for ${\mathbb{R}}^n$

We investigate ${\mathbb{R}}^n$ as the additive group with the Euclidean topology to give a description of $S({\mathbb{R}}^n)$, the phase space of the universal ambit of ${\mathbb{R}}^n$ and $M({\mathbb{R}}^n)$, the phase space of the universal minimal dynamical system, in terms of $M({\mathbb{Z}}^n)$, the phase space of universal minimal flow of ${\mathbb{Z}}^n$. This extends work by Turek for $\mathbb{R}$ to ${\mathbb{R}}^n$.