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Browsing by Author "Schmidt, Thomas A."

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Browsing by Author "Schmidt, Thomas A."

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  • Algebraic Pappus Curves 
    Hatase, Tatsuhiko (2011-08-24)
    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 cas ...
  • Feedback in multiple antenna wireless communication systems 
    Xu, Tao (2010-05-10)
    Multiple-input multiple-output wireless systems promise significant capacity gain and/or diversity gain over single antenna systems. If channel state information (CSI) is available at both the transmitter and the recei ...
  • Hilbert modular surfaces and uniformizing groups of Klein invariants 
    Bell, Andrea Moreira (2003-12-08)
  • New methods for finite field arithmetic 
    Yanik, Tuğrul (2001-11-21)
    We describe novel methods for obtaining fast software implementations of the arithmetic operations in the finite field GF(p) and GF(p[superscript k]). In GF(p) we realize an extensive speedup in modular addition and su ...
  • Principal subgroups of the nonarithmetic Hecke triangle groups and Galois orbits of algebraic curves 
    Smith, Katherine M. (2000-06-08)
  • Spectral modular arithmetic 
    Saldamli, Gökay (2005-05-23)
    In many areas of engineering and applied mathematics, spectral methods provide very powerful tools for solving and analyzing problems. For instance, large to extremely large sizes of numbers can efficiently be multipli ...
  • The structure of E6 
    Wangberg, Aaron D. (2007-12-31)
    A fundamental question related to any Lie algebra is to know its subalgebras. This is particularly true in the case of E6, an algebra which seems just large enough to contain the algebras which describe the fundamental ...
  • Triangular billiards surfaces and translation covers 
    Schmurr, Jason Peter (2008-12-02)
    We identify all translation covers among triangular billiards surfaces. Our main tools are the J-invariant of Kenyon and Smillie and a property of triangular billiards surfaces, which we call fingerprint type, that is in ...

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