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

Gabriel Vigny

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arXiv · math/0609772

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

Gabriel Vigny

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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.

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BibTeX RIS

Gabriel Vigny. 2006-09-27. Dynamics semi-conjugated to a subshift for some polynomial mappings in $C^2$. https://arxiv.org/abs/math/0609772

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