Linear Dynamical Systems

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2020Embargo end date: 01 Jan 2020 English Publisher:Maynooth UniversityJournal:Irish Mathematical Society Bulletin, volume 86, pages 47-78 (issn: 0791-5578,

Copyright policy )Publicly fundedFunded by:IRC | unidentified

Authors: Gilmore, Clifford;

doi: 10.33232/bims.0086.47.78 , 10.48550/arxiv.2007.12647

arXiv: 2007.12647

Linear Dynamical Systems

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Abstract

This expository survey is dedicated to recent developments in the area of linear dynamics. Topics include frequent hypercyclicity, $\mathcal{U}$-frequent hypercyclicity, reiterative hypercyclicity, operators of C-type, Li-Yorke and distributional chaos, and hypercyclic algebras.

Survey invited by Bulletin of the Irish Mathematical Society. Version accepted for publication

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University College Cork
Ireland

Keywords

Mathematics - Functional Analysis, 47A16, 46B87, 47-02, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Functional Analysis (math.FA)

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