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  • Critically Separable Rational Maps in Families

    Creator:
    Petsche, Clayton
    Abstract:
    Given a number field K, we consider families of critically separable rational maps of degree d over K possessing a certain fixed-point and multiplier structure. With suitable notions of isomorphism and good reduction between rational maps in these families, we prove a finiteness theorem which is analogous to Shafarevich’s theorem...
    Resource Type:
    Article

  • Spatial determinism for a free Z2-action

    Creator:
    Burton, Robert and Park, Kyewon K.
    Abstract:
    We extend the idea of bilateral determinism of a free Z-action by D. Ornstein and B. Weiss to a free Z²-action. We show that we have a 'stronger' spatial determinism for Z²-actions: to determine the complete Z²-name of a point, it is enough to know the name of a fraction...
    Resource Type:
    Article
    Full Text:
    2012 IP address: 128.193.162.72 Ergod. Th. & Dynam. Sys. (2012), 32, 479–489 c© Cambridge University