2 problems

Let $N\ge1$ and let $F:\mathbb D^N\to\mathbb D^N$ be holomorphic and without fixed points. Write $F^{\circ n}$ for the $n$-fold iterate and let $\pi_j(z)=z_j$ be projection onto th…

Coman's conjecture. For the polydisc ${\mathbb D}^n$, the Green and Lempert functions with two poles of equal weights are equal: