Compositional roots of Hénon maps

Details Compositional roots of Hénon maps Compositional roots of Hénon maps

1995-06-20

arxiv.org/abs/math/9506212v1

Mathematics

Dynamical Systems

Scientific paper

Let $H$ denote a composition of complex H\'enon maps in {\bf C}$^2$. In this
paper we show that the only possible compositional roots of $H$ are also
compositions of H\'enon maps, and that $H$ can have compositional roots of
only finitely many distinct orders.

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