Now showing items 1-6 of 6

    • Adding machines. 

      Jones, Leslie Braziel. (2009-06-01)
      We explore the endpoint structure of the inverse limit space of unimodal maps such that the restriction of the map to the ω-limit set of the critical point is topologically conjugate to an adding machine. These maps fall ...
    • Asymptotic arc-components in inverse limits of dendrites. 

      Hamilton, Brent (Brent A.) (, 2011-09-14)
      We study asymptotic behavior arising in inverse limit spaces of dendrites. In particular, the inverse limit is constructed with a single unimodal bonding map, for which points have unique itineraries and the critical point ...
    • Chaos in dendritic and circular Julia sets. 

      Averbeck, Nathan. 1985- (2016-07-01)
      We demonstrate the existence of various forms of chaos (including transitive distributional chaos, w-chaos, topological chaos, and exact Devaney chaos) on two families of abstract Julia sets: the dendritic Julia sets DT ...
    • Chaotic properties of set-valued dynamical systems. 

      Tennant, Timothy, 1987- (2016-04-04)
      In this thesis, many classical results of topological dynamics are adapted to the set-valued case. In particular, focus is given to the notions of topological entropy and the specification property. These properties are ...
    • Orbit structures of homeomorphisms. 

      Sherman, Casey L. (, 2012-11-29)
      In this dissertation we answer the following question: If X is a Cantor set and T: X → to X is a homeomorphism, what possible orbit structures can T have? The answer is given in terms of the orbit spectrum of T. If X is a ...
    • The specification property and chaos in multidimensional shift spaces and general compact metric spaces. 

      Hunter, Reeve. (2016-06-28)
      Rufus Bowen introduced the specification property for maps on a compact metric space. In this dissertation, we consider some implications of the specification property for Zᵈ-actions on subshifts of Ʃ^Zᵈ as well as on a ...