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Department of Mathematics
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Continued fractions and the divisor at infinity on a hyperelliptic curve : examples and order bounds (2013-04-25)We use the theory of continued fractions over function fields in the setting of hyperelliptic curves of equation y²=f(x), with deg(f)=2g+2. By introducing a new sequence of polynomials defined in terms of the partial quo ...
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(2013-04-17)This dissertation presents some results from various areas of probability theory, the unifying theme being the use of functional analytic intuition and techniques. We first give a result regarding the existence of certai ...
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(2013-05-06)We present discrete energy decay results for the Yee scheme applied to Maxwell's equations in Debye and Lorentz dispersive media. These estimates provide stability conditions for the Yee scheme in the corresponding medi ...
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(1989-05-18)The classical two-dimensional wavemaker problem is formulated for linear waves. Two conformal mappings are applied to the mathematical formulation to transform the wavemaker problem into a unit disk. It is then shown ...
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(2013-03-13)Integral representations provide a useful framework of study and simulation of fractional Browian motion, which has been used in modeling of many natural situations. In this thesis we extend an integral representation of ...
