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Browsing Department of Mathematics by Author "Schmidt, Thomas A."

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Browsing Department of Mathematics by Author "Schmidt, Thomas A."

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  • Arnoux, Pierre; Schmidt, Thomas A. (American Institute of Mathematical Sciences, 2014-11)
    We compare two families of continued fractions algorithms, the symmetrized Rosen algorithm and the Veech algorithm. Each of these algorithms expands real numbers in terms of certain algebraic integers. We give explici ...
  • Calta, Kariane; Schmidt, Thomas A. (Australian Mathematical Publishing Association Inc., 2013-02-07)
    We give continued fraction algorithms for each conjugacy class of triangle Fuchsian group of signature (3, n, ∞), with n ≥ 4. In particular, we give an explicit form of the group that is a subgroup of the Hilbert modu ...
  • Calta, Kariane; Schmidt, Thomas A. (American Institute of Mathematical Sciences, 2013-06)
    We give explicit pseudo-Anosov homeomorphisms with vanishing Sah–Arnoux–Fathi invariant. Any translation surface whose Veech group is commensurable to any of a large class of triangle groups is shown to have an affine ...

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