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Topological and geometric hyperbolicity criteria for polynomial automorphisms of
2021
Ergodic Theory and Dynamical Systems
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We prove that uniform hyperbolicity is invariant under topological conjugacy for dissipative polynomial automorphisms of $\mathbb {C}^2$ . Along the way we also show that a sufficient condition for hyperbolicity is that local stable and unstable manifolds of saddle points have uniform geometry.
doi:10.1017/etds.2021.47
fatcat:lafkitz5zzcqvmk6psdjocl7fq