Now showing items 1-4 of 4

    • 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 ...
    • 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 ...