Resonances in Loewner equations

Leandro Arosio

We prove that given a Herglotz vector field on the unit ball of ${\mathbb{C}}^n$ of the form $H(z,t)=(a_1{z}_1,...,a_n{z}_n)+O(|z{|}^2)$ with $\Re a_j<0$ for all $j$, its evolution famil…