• Login
    JavaScript is disabled for your browser. Some features of this site may not work without it.
    Two Families of Holomorphic Correspondences 
    •   QMRO Home
    • Queen Mary University of London Theses
    • Theses
    • Two Families of Holomorphic Correspondences
    •   QMRO Home
    • Queen Mary University of London Theses
    • Theses
    • Two Families of Holomorphic Correspondences
    ‌
    ‌

    Browse

    All of QMROCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects
    ‌
    ‌

    Administrators only

    Login
    ‌
    ‌

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Two Families of Holomorphic Correspondences

    Publisher
    Queen Mary University of London
    Metadata
    Show full item record
    Abstract
    Holomorphic correspondences are multivalued functions from the Riemann sphere to itself. This thesis is concerned with a certain type of holomorphic correspondence known as a covering correspondence. In particular we are concerned with a one complexdimensional family of correspondences constructed by post-composing a covering correspondence with a conformal involution. Correspondences constructed in this manner have varied and intricate dynamics. We introduce and analyze two subfamilies of this parameter space. The first family consists of correspondences for which the limit set is a Cantor set, the second family consists of correspondences for which the limit set is connected and for which the action of the correspondence on the complement of this limit set exhibits certain group like behaviour.
    Authors
    Curtis, Andrew
    URI
    http://qmro.qmul.ac.uk/xmlui/handle/123456789/7978
    Collections
    • Theses [3919]
    Twitter iconFollow QMUL on Twitter
    Twitter iconFollow QM Research
    Online on twitter
    Facebook iconLike us on Facebook
    • Site Map
    • Privacy and cookies
    • Disclaimer
    • Accessibility
    • Contacts
    • Intranet
    • Current students

    Modern Slavery Statement

    Queen Mary University of London
    Mile End Road
    London E1 4NS
    Tel: +44 (0)20 7882 5555

    © Queen Mary University of London.