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Filtering by: Advisor Spies, Thomas A. Remove constraint Advisor: Spies, Thomas A. Contributor advisor sim Schmidt, Thomas A. Remove constraint Contributor advisor sim: Schmidt, Thomas A. Committee Member Flahive, Mary E. Remove constraint Committee Member: Flahive, Mary E.

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  • New Families of pseudo-Anosov Homeomorphisms with Vanishing Sah-Arnoux-Fathi Invariant

    Creator:
    Do, Hieu Trung
    Abstract:
    Translation surfaces can be viewed as polygons with parallel and equal sides identified. An affine homeomorphism φ from a translation surface to itself is called pseudo-Anosov when its derivative is a constant matrix in SL₂(R) whose trace is larger than 2 in absolute value. In this setting, the eigendirections of...
    Resource Type:
    Dissertation
    Full Text:
    Homeomorphisms with Vanishing Sah-Arnoux-Fathi Invariant. Abstract approved: Thomas A. Schmidt Translation

  • Algebraic Pappus Curves

    Creator:
    Hatase, Tatsuhiko
    Abstract:
    We show that Pappus Curves, introduced by R. Schwartz to study his dynamical system in the real projective plane generated by iterated applications of the classical Pappus Theorem, are algebraic exactly in the linear case. Our approach is to use properties of projective curves such as singular points, genus, number...
    Resource Type:
    Dissertation
    Full Text:
    Curves Abstract approved: Thomas A. Schmidt We show that Pappus Curves, introduced by R. Schwartz to