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attracting minimal sets 1complex hénon maps 1lyapunov exponents 1mean stability 1polynomial automorphisms 1random dynamical systems 1

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math.DS2026

Random dynamical systems of polynomial automorphisms on

Hiroki Sumi

The paper investigates random iterations of polynomial automorphisms (complex Hénon maps) on \(\mathbb{C}^2\), proving that a generic random system is mean‑stable, which yields neg…