Disjoint Topological Transitivity for Cosine Operator Functions on Groups

Chung-Chuan Chen


In this paper, we study a finite sequences of operators, generated by the powers of weighted translations on discrete groups, and give a sufficient condition for such sequences to be disjoint topologically transitive in terms of the group element and weights. Such sequences can be regarded as cosine operator functions. Moreover, the condition can be strengthened to characterize disjoint mixing.

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