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  • Shadowing, expansiveness and specification for C1-conservative systems
    Publication . Bessa, Mário; Lee, Manseob; Wen, Xiao
    We prove that a C -generic volume-preserving dynamical system (diffeomor- phism or flow) has the shadowing property or is expansive or has the weak specification property if and only if it is Anosov. Finally, as in [10, 27], we prove that the C -robustness, within the volume-preserving context, of the expansiveness property and the weak specifica- tion property, imply that the dynamical system (diffeomorphism or flow) is Anosov.