Frequently hypercyclic random vectors

Agneessens, Kevin

doi:10.1090/proc/16153

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Article (Scientific journals)

Frequently hypercyclic random vectors

Agneessens, Kevin

2022 • In Proceedings of the American Mathematical Society, 151 (3), p. 1103-1117

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https://hdl.handle.net/20.500.12907/44480

DOI
10.1090/proc/16153

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Keywords :

Applied Mathematics; General Mathematics

Abstract :

[en] We show that, under suitable conditions, an operator acting like a shift on some sequence space has a frequently hypercyclic random vector whose distribution is strongly mixing for the operator. This result will be applied to chaotic weighted shifts. We also apply it to every operator satisfying the Frequent Hypercyclicity Criterion, recovering a result of Murillo and Peris.

Disciplines :

Mathematics

Author, co-author :

Agneessens, Kevin ; Université de Mons - UMONS > Faculté des Sciences > Service de Probabilité et statistique

Language :

English

Title :

Frequently hypercyclic random vectors

Publication date :

09 December 2022

Journal title :

Proceedings of the American Mathematical Society

ISSN :

0002-9939

eISSN :

1088-6826

Publisher :

American Mathematical Society (AMS)

Volume :

151

Issue :

Pages :

1103-1117

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://www.ams.org/proc/0000-000-00/S0002-9939-2022-16153-X/proc16153_AM.pdf
https://doi.org/10.48550/arXiv.2204.10091

Research unit :

S844 - Probabilité et statistique

Research institute :

Complexys

Funders :

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

Funding text :

The author is a Research Fellow of the Fonds de la Recherche Scientifique-FNRS.

Available on ORBi UMONS :

since 11 January 2023

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Bibliography

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