Entropy for endomorphisms of LCA groups

Simone Virili

    Research output: Contribution to journalArticleResearchpeer-review

    17 Citations (Scopus)

    Abstract

    We introduce a modified version of the entropy defined for locally compact Abelian groups by Peters. This approach allows us to work with endomorphisms instead of working with automorphisms. We study some of the basic properties of this new entropy and we give direct proofs of the formulae that allow one to compute the entropy of endomorphisms of Z{double-struck} N, R{double-struck} N and C{double-struck} N, for every positive integer N. © 2012 Elsevier B.V.
    Original languageEnglish
    Pages (from-to)2546-2556
    JournalTopology and its Applications
    Volume159
    Issue number9
    DOIs
    Publication statusPublished - 1 Jun 2012

    Keywords

    • Algebraic entropy
    • Continuous endomorphisms
    • Haar measure
    • Locally compact abelian groups

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