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Weak mixing for dynamical systems with ${\bm{\mathscr M}}_{\bmα}$-shadowing
This paper studies weak mixing for two classes of dynamical systems with the \(\mathscr{M}_α\)-shadowing property using the generic factor characterization of weak scattering. First, for every \(α\in[0,1)\), every \(M\)-system with the \(\mathscr{M}_α\)-shadowing property is weakly mixing, thereby a
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