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Compositional roots of Hénon maps

Gregery T. Buzzard, John Erik Fornaess

math.DSarXiv:math/9506212

Abstract

Let H denote a composition of complex Hénon maps in C2. In this paper we show that the only possible compositional roots of H are also compositions of Hénon maps, and that H can have compositional roots of only finitely many distinct orders.

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