Now showing items 1-2 of 2

    • 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 ...
    • Sharkovskii's Theorem Under Set-Valued Functions 

      Otey, Andrew (2018-05-21)
      Sharkovskii's remarkable theorem from 1964 demonstrated significant results about periodic orbits of continuous functions on the real line. His work produced the Sharkovskii ordering. If m >> n in the Sharkovskii ...