Rate of Growth of Frequently Hypercyclic Random Functions for Weighted Shifts

Linear dynamics; Random vectors; Rate of growth; Weighted shifts; Computational Mathematics; Computational Theory and Mathematics; Applied Mathematics

Abstract :

[en] The search for admissible rates of growth for frequently hypercyclic functions with a probabilistic approach was initiated in a recent work by Nikula for the differentiation operator, and continued by Mouze and Munnier for the Taylor shift. We extend their approach by giving a criterion for general random series, and apply it to various frequently hypercyclic weighted shifts on the space of entire functions and on the space of holomorphic functions on the unit disk.

Disciplines :

Mathematics

Author, co-author :

Agneessens, Kevin ; Université de Mons - UMONS > Faculté des Sciences > Service d'Analyse fonctionnelle

Language :

English

Title :

Rate of Growth of Frequently Hypercyclic Random Functions for Weighted Shifts

Publication date :

December 2024

Journal title :

Complex Analysis and Operator Theory

ISSN :

1661-8254

eISSN :

1661-8262

Publisher :

Birkhauser

Volume :

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://link.springer.com/content/pdf/10.1007/s11785-024-01639-6.pdf

Research unit :

S844 - Analyse fonctionnelle

Research institute :

Complexys

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique

Available on ORBi UMONS :

since 29 May 2026

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Bibliography

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