Dynamics of skew-products tangent to the identity

Matthieu Astorg, Luka Boc Thaler

We study the local dynamics of generic skew-products tangent to the identity, i.e. maps of the form $P(z,w)=(p(z),q(z,w))$ with $d{P}_0=\mathrm{id}$. More precisely, we focus on map…