Randomized trial demonstrates a new criterion for hypercyclicity in entire functions, suggesting a method for operator analysis.
A criterion to obtain frequent hypercyclicity for a sequence of convolution operators on the space of entire functions on the complex plane is provided. The criterion involves that the generating functions of the operators do not vanish on an appropriate closed annulus, in the boundary of which the modulus of each term of the sequence is in some sense controlled by the preceding ones or the following ones.
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Bernal-González et al. (2026) studied this question.
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