Newelski's Conjecture for $o$-Minimal and $p$-Adic Groups

Let $M_0$ denote either the field of $p$-adic numbers $\mathbb{Q}_p$ or an $o$-minimal expansion of the real field $\mathbb{R}$. We study the minimal flows and Ellis groups of groups definable over $M_0$ from the viewpoint of definable topological dynamics. The computation of Ellis groups, together