Maximal-entropy measure conjecture for non-Archimedean rational maps

Fix a rational map $R$ over $K$ of degree $d\geq 2$, and for $n\in\mathbb{N}^*$ let $\operatorname{RFix}(R^n)$ be the set of repulsive fixed points of $R^n$. Let $\mu_R$ be a measure of maximal metric entropy for $R$. Maximal-entropy measure conjecture. The rational map $R$ admits a unique measure of maximal metric entropy $\mu_R$, and

$$\frac{1}{\#\operatorname{RFix}(R^n)}\sum_{x\in\operatorname{RFix}(R^n)}\delta_x\longrightarrow\mu_R\quad\text{as }n\to+\infty.$$

When $R$ is non-wild and $\chi(R)=0$, the source states that this conjecture is solved affirmatively; in the non-moderate case, the conjecture remains delicate.