21 citations · 34 across the 7 of their papers we have counts for
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math.DS2012
Stable weakly shadowable volume-preserving systems are volume-hyperbolic
Mario Bessa, Manseob Lee, Sandra Vaz
We prove that any C1-stably weakly shadowable volume-preserving diffeomorphism defined on a compact manifold displays a dominated splitting E + F. Moreover, both E and F are volume…
math.DS2012★ 2 cited
Stably weakly shadowing symplectomorphisms are partially hyperbolic
Mario Bessa, Sandra Vaz
Let M be a closed, symplectic connected Riemannian manifold, f a symplectomorphism on M. We prove that if f is C1-stably weakly shadowing on M, then the whole manifold M admits a p…