Composition operators induced by odometers on spaces of measurable functions yield new examples and counter-examples for supercyclicity and frequent hypercyclicity, with general statements for L_p spaces.
Aaronson, An introduction to infinite ergodic theory
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On the dynamics of composition operators: supercyclicity, odometers and translations
Composition operators induced by odometers on spaces of measurable functions yield new examples and counter-examples for supercyclicity and frequent hypercyclicity, with general statements for L_p spaces.