• Login
    View Item 
    •   Home
    • 1 - Oberwolfach Preprints (OWP)
    • 2014
    • View Item
    •   Home
    • 1 - Oberwolfach Preprints (OWP)
    • 2014
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Weak Expansiveness for Actions of Sofic Groups

    Thumbnail
    View/Open
    OWP2014_05.pdf (471.4Kb)
    Date
    2014-04-25
    MFO Scientific Program
    Research in Pairs 2013
    Series
    Oberwolfach Preprints;2014,05
    Author
    Chung, Nhan-Phu
    Zhang, Guohua
    Metadata
    Show full item record
    OWP-2014-05
    Abstract
    In this paper, we shall introduce $h$-expansiveness and asymptotical $h$-expansiveness for actions of sofic groups. By the definitions, each h-expansive action of sofic groups is asymptotically $h$-expansive. We show that each expansive action of sofic groups is $h$-expansive, and, for any given asymptotically $h$-expansive action of sofic groups, the entropy function (with respect to measures) is upper semi-continuous and hence the system admits a measure with maximal entropy. Observe that asymptotically $h$-expansive property was firstly introduced and studied by Misiurewicz for $\mathbb{Z}$-actions using the language of tail entropy. And thus in the remaining part of the paper, we shall compare our definitions of weak expansiveness for actions of sofic groups with the definitions given in the same spirit of Misiurewicz's ideas when the group is amenable. It turns out that these two definitions are equivalent in this setting.
    Mathematics Subject Classification (MSC)
    37 • 54
    DOI
    10.14760/OWP-2014-05
    Collections
    • 2014

    DSpace software copyright © 2002-2016  DuraSpace
    Contact Us | Legal Notice | Data Protection Statement
    WGL
     

     

    Browse

    All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsMFO Series IDMSCSnapshot SubjectMFO Scientific ProgramThis CollectionBy Issue DateAuthorsTitlesSubjectsMFO Series IDMSCSnapshot SubjectMFO Scientific Program

    My Account

    Login

    DSpace software copyright © 2002-2016  DuraSpace
    Contact Us | Legal Notice | Data Protection Statement
    WGL