On the convergence of Denjoy-Wolff points

Serban Belinschi, Hari Bercovici, Ching Wei Ho

If $\phi$ is an analytic function from the unit disk $\mathbb{D}$ to itself, and $\phi$ is not a conformal automorphism, we denote by ${\lambda }_{\phi }$ its Denjoy-Wolff point, that is, the limit of…