3 problems

Rational-ray escape-of-mass conjecture. For any rational $\xi\in\Omega$, the measures $\mu_{x_n^\xi}$ converge to the zero measure.

Generic equidistribution conjecture. For almost every $\xi\in\Omega$, the averages

Let $F$ be a field of characteristic $p$, let $\varphi$ be an analytic map from the open unit polydisk in $n$ dimensions to itself, and let $x=(0,\ldots,0)$ be a fixed point whose…