45 citations · 194 across the 35 of their papers we have counts for
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math.DS2011
Global stable manifolds in holomorphic dynamics under bunching conditions
Alberto Abbondandolo, Pietro Majer
We prove that the stable manifold of every point in a compact hyperbolic invariant set of a holomorphic automorphism of a complex manifold is biholomorphic to a complex vector spac…
math.SG2011
Middle-dimensional squeezing and non-squeezing behavior of symplectomorphisms
Alberto Abbondandolo, Slava Matveyev
After reformulating Gromov's non-squeezing theorem as an area-inequality, we discuss a seemingly natural higher dimensional generalization.
math.DS2011★ 3 cited
Stable manifolds for holomorphic automorphisms
Marco Abate, Alberto Abbondandolo, Pietro Majer
We give a sufficient condition for the abstract basin of attraction of a sequence of holomorphic self-maps of balls in \mathbb{C}^{d} to be biholomorphic to \mathbb{C}^{d}. As a co…