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arXiv · 2211.16413

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

Ankit Vishnubhotla
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Abstract

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 $\mathbb{R}^n$.

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Ankit Vishnubhotla. 2022-11-29. Minimal Dynamical System for $\mathbb{R}^n$. https://arxiv.org/abs/2211.16413

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