Hyperbolicity and Quasi-hyperbolicity in Polynomial Diffeomorphisms of \Bbb C²

2016/01/23 by Bedford, Eric, Guerini, Lorenzo, Smillie, John
#37C99 37F99 32H50 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1601.06268

Abstract

We consider complex Henon maps which are quasi-hyperbolic. We show that a quasi-hyperbolic map is uniformly hyperbolic if and only if there are no tangencies between stable and unstable manifolds.

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