Xu Zhang

Weak mixing for dynamical systems with ${\bm{\mathscr M}}_{\bm\alpha}$-shadowing

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