A1 Refereed original research article in a scientific journal

Asymptotic Abelian Complexities of Certain Morphic Binary Words




AuthorsMarkus A. Whiteland

PublisherInstitut für Informatik, Justus-Liebig-Universität Giessen

Publication year2019

JournalJournal of Automata, Languages and Combinatorics

Journal acronymJALC

Volume24

Issue1

First page 89

Last page114

eISSN2567-3785

DOIhttps://doi.org/10.25596/jalc-2019-089

Web address https://www.jalc.de/issues/2019/issue_24_1/jalc-2019-089-114.php

Self-archived copy’s web addresshttps://research.utu.fi/converis/portal/detail/Publication/39844861


Abstract

We study asymptotic Abelian complexities of morphic binary words. We complete
the classification of upper Abelian complexities of pure morphic binary words initiated
recently by F. Blanchet-Sadri, N. Rampersad, and N. Fox. We also study a class of
morphic binary words having different asymptotic factor complexities despite having
the same asymptotic Abelian complexity.


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