  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.
