Dynamics semi-conjugated to a subshift for some polynomial mappings in $C^2$

Abstract

We study the dynamics near infinity of polynomial mappings $f$ in ${\mathbb{C}}^2$. We assume that $f$ has indeterminacy points and is non constant on the line at infinity $L_{\infty }$. If $L_{\infty }$ is $f$-attracting, we decompose the Green current along itineraries defined by the indeterminacy points and their preimages. The symbolic dynamics that arises is a subshift on an infinite alphabet.

20 pages