Disjoint hypercyclic weighted translations generated by aperiodic elements (Q314628)

Let \(G\) be a locally compact group with a right-invariant Haar measure that is second countable, hence the space \(L_p(G)\), \(1 \leq p < \infty\), is separable. Extending results by \textit{C.-C. Chen} and \textit{C.-H. Chu}, see, e.g., [Proc. Am. Math. Soc. 139, No. 8, 2839--2846 (2011; Zbl 1221.47017)] and [\textit{C.-C. Chen}, Arch. Math. 101, No. 2, 135--141 (2013; Zbl 1284.47005)], the authors present a characterization for disjoint hypercyclicity (in the sense of Bernal-González and Bès and Peris) of finite weighted translations sharing the same translation part generated by an aperiodic element acting on \(L_p(G)\).